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

Time bar (total: 20.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample901.0ms (4.4%)

Memory
14.0MiB live, 807.9MiB allocated
Samples
588.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-mult: 219.0ms (73.6% of total)
ival-exp: 69.0ms (23.2% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain81.0ms (0.4%)

Memory
9.1MiB live, 46.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(exp.f64 (*.f64 y y))
00-0-(*.f64 y y)
00-0-(*.f64 x (exp.f64 (*.f64 y y)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
53.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 37.0ms (89.4% of total)
ival-exp: 4.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess35.0ms (0.2%)

Memory
-5.3MiB live, 29.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize4.8s (23.4%)

Memory
-8.7MiB live, 25.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0078125
(*.f64 x (exp.f64 (*.f64 y y)))
accuracy0.012976281620653759
(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 (55.8% of total)
ival-exp: 2.0ms (37.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))
Calls

6 calls:

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

simplify9.4s (46%)

Memory
-13.2MiB live, 38.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite77.0ms (0.4%)

Memory
5.7MiB live, 45.2MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

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

eval2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Compiler

Compiled 171 to 47 computations (72.5% saved)

prune2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13417
Fresh000
Picked011
Done000
Total13518
Accuracy
100.0%
Counts
18 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
100.0%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
55.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
81.0%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify6.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01676
02476
13776
24276
34876
44876
59176
69176
79676
89776
09776
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
x
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y
(*.f64 x (exp.f64 y))
x
(exp.f64 y)
y
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
(*.f64 #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) x)
x
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
x
(exp.f64 y)
y

localize68.0ms (0.3%)

Memory
-8.7MiB live, 29.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 y)
accuracy0.01171875
(*.f64 x (exp.f64 y))
accuracy0.0
(exp.f64 y)
accuracy0.0
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
accuracy0.00390625
(pow.f64 (exp.f64 y) y)
accuracy0.0078125
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
accuracy0.0078125
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
accuracy28.62656683155875
#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 y y)
accuracy2.864001281585764
(fma.f64 (*.f64 y y) x x)
accuracy14.94888824849541
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
Samples
57.0ms256×0valid
Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39.4% of total)
ival-pow: 4.0ms (26.2% of total)
ival-exp: 3.0ms (19.7% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
10 → 23
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
(*.f64 x (exp.f64 y))
Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp y))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (pow y 2))
(exp y)
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms
x
@-inf
((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms
x
@0
((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms
y
@0
((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms
y
@inf
((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))

simplify312.0ms (1.5%)

Memory
7.1MiB live, 123.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067187
1208187
2528179
31316177
42291177
56693177
08276151
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp y))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (pow y 2))
(exp y)
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(pow y 2)
(*.f64 y y)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp y)
(exp.f64 y)

rewrite280.0ms (1.4%)

Memory
0.1MiB live, 163.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01666
02466
15866
224066
3196566
0826766
Stop Event
iter limit
node limit
iter limit
Counts
10 → 238
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
(*.f64 x (exp.f64 y))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (fma.f64 (*.f64 y y) x x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 y x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 y x) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) y (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y x)
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 y y) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y y) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) x)
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 y (*.f64 y x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 y x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(fma.f64 x (*.f64 y y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))) (-.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))) (-.f64 (*.f64 (*.f64 y y) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 y y) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) x))))
(-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y y) x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y y) x))
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (*.f64 y y) x))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.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)) (pow.f64 (exp.f64 y) y)) x)
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y) y)) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 y y))
(pow.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (*.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1 binary64)))
(pow.f64 (exp.f64 y) y)
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y))
(exp.f64 y)
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))

eval91.0ms (0.4%)

Memory
11.2MiB live, 48.2MiB allocated
Compiler

Compiled 8 029 to 965 computations (88% saved)

prune80.0ms (0.4%)

Memory
-10.0MiB live, 28.3MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2557262
Fresh000
Picked134
Done011
Total25611267
Accuracy
100.0%
Counts
267 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
100.0%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
99.3%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
55.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
80.3%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
64.6%
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
76.6%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
29.8%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
64.6%
#s(approx (* x (exp y)) (fma.f64 y x x))
Compiler

Compiled 213 to 150 computations (29.6% saved)

simplify7.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025150
036148
155148
261148
371148
471148
5120148
6120148
7125148
8126148
0126148
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
x
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
x
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
Outputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(*.f64 #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) x)
x
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
(*.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) x)
x
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 y x) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
y
x

localize46.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.078125
(fma.f64 (*.f64 y x) y x)
accuracy14.94888824849541
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy0.0
(*.f64 y y)
accuracy6.518094696023963
(*.f64 (*.f64 y y) x)
accuracy14.94888824849541
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
accuracy33.2447924969005
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
accuracy0.0
(-.f64 y #s(literal -1 binary64))
accuracy0.01171875
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
accuracy28.046175404220193
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
accuracy0.0
(fma.f64 y x x)
accuracy22.24294677768018
#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy0.0
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))
accuracy0.00390625
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)
accuracy0.0078125
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
accuracy28.046175404220193
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 88 to 18 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.6% of total)
ival-pow: 4.0ms (18.9% of total)
ival-exp: 3.0ms (14.2% of total)
ival-add: 3.0ms (14.2% of total)
ival-sub: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series108.0ms (0.5%)

Memory
-43.1MiB live, 5.7MiB allocated
Counts
15 → 30
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
(-.f64 y #s(literal -1 binary64))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
Outputs
(* x (exp (pow y 2)))
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
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 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(pow y 2)
(exp (pow y 2))
(exp y)
(* y (+ x (/ x y)))
y
(* y (+ 1 (/ 1 y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
101.0ms
x
@0
((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
2.0ms
x
@-inf
((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
1.0ms
y
@-inf
((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
1.0ms
x
@inf
((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
1.0ms
y
@inf
((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))

simplify284.0ms (1.4%)

Memory
10.9MiB live, 85.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083214
1264214
2660206
31663204
44629204
08159174
Stop Event
iter limit
node limit
Counts
30 → 28
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
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 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(pow y 2)
(exp (pow y 2))
(exp y)
(* y (+ x (/ x y)))
y
(* y (+ 1 (/ 1 y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
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))))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp y)
(exp.f64 y)
(* y (+ x (/ x y)))
(fma.f64 y x x)
y
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)

rewrite509.0ms (2.5%)

Memory
0.3MiB live, 192.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025129
036127
1110127
2481127
34346127
08362127
Stop Event
iter limit
node limit
iter limit
Counts
15 → 392
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
(-.f64 y #s(literal -1 binary64))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
Outputs
(*.f64 #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) x)
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))
(*.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (sqrt.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) (sqrt.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(pow.f64 (*.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(pow.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64)) (+.f64 y y))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (sqrt.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) #s(literal 1 binary64))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) y)))
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(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (*.f64 y x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 y x) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y x) y (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 (*.f64 y y) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y y) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 y (*.f64 y x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 y x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(fma.f64 x (*.f64 y y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 y y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) x))))
(-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y y) x))
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (*.f64 y y) x))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

eval207.0ms (1%)

Memory
9.8MiB live, 138.4MiB allocated
Compiler

Compiled 12 506 to 1 821 computations (85.4% saved)

prune14.0ms (0.1%)

Memory
15.0MiB live, 53.2MiB allocated
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New5043507
Fresh022
Picked055
Done044
Total50414518
Accuracy
100.0%
Counts
518 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
100.0%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
99.3%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
55.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
80.3%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
64.6%
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
76.6%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
29.8%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
25.5%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
64.6%
#s(approx (* x (exp y)) (fma.f64 y x x))
47.9%
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
64.6%
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
Compiler

Compiled 248 to 167 computations (32.7% saved)

simplify138.0ms (0.7%)

Memory
-9.7MiB live, 77.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (*.f64 (*.f64 y y) x))
cost-diff0
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x)
cost-diff0
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
cost-diff11
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))
cost-diff0
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
cost-diff1
(+.f64 (*.f64 y x) x)
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034223
056203
197203
2165203
3325203
4736203
52033203
65043203
08178197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x)
(-.f64 x (*.f64 (*.f64 y y) x))
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
(-.f64 x (*.f64 y x))
(*.f64 y x)
Outputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
y
x
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))
(fma.f64 y x x)
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x)
(-.f64 x (*.f64 (*.f64 y y) x))
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
(-.f64 x (*.f64 y x))
(*.f64 y x)

localize116.0ms (0.6%)

Memory
-15.8MiB live, 141.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.4106526796398349
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x)
accuracy6.518094696023963
(*.f64 (*.f64 y y) x)
accuracy22.24294677768018
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
accuracy31.768123425581557
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
accuracy15.093699435212221
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0.0
(*.f64 y x)
accuracy0.15625
(*.f64 (*.f64 y x) y)
accuracy14.94888824849541
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
accuracy33.2447924969005
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))
accuracy0.0
(*.f64 y x)
accuracy0.015625
(+.f64 (*.f64 y x) x)
accuracy22.24294677768018
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
accuracy0.0546875
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.15625
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy11.031232480719549
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Samples
69.0ms256×0valid
Compiler

Compiled 154 to 31 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 17.0ms (35% of total)
ival-exp: 15.0ms (30.8% of total)
ival-add: 8.0ms (16.5% of total)
ival-sub: 4.0ms (8.2% of total)
const: 4.0ms (8.2% of total)
ival-div: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
20 → 56
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+.f64 (*.f64 y x) x)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 y x)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x)
(-.f64 x (*.f64 (*.f64 y y) x))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(*.f64 (*.f64 y y) x)
Outputs
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(/ (* x (- 1 (pow y 2))) (- 1 y))
(* (pow x 2) (- 1 (pow y 2)))
(* x (- 1 (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(* x (+ 1 (* -1 (pow y 2))))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 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 x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ x (* -1 (* x (pow y 2))))
1/2
(+ 1/2 (* 1/6 y))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/2 y)
(* y (+ 1/2 (/ 1 y)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x (pow y 2)) x))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
Calls

6 calls:

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

simplify186.0ms (0.9%)

Memory
6.7MiB live, 197.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129429
1422425
21091415
34053412
47588411
08413369
Stop Event
iter limit
node limit
Counts
56 → 55
Calls
Call 1
Inputs
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(/ (* x (- 1 (pow y 2))) (- 1 y))
(* (pow x 2) (- 1 (pow y 2)))
(* x (- 1 (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(* x (+ 1 (* -1 (pow y 2))))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 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 x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ x (* -1 (* x (pow y 2))))
1/2
(+ 1/2 (* 1/6 y))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/2 y)
(* y (+ 1/2 (/ 1 y)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x (pow y 2)) x))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
Outputs
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(/ (* x (- 1 (pow y 2))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(* (pow x 2) (- 1 (pow y 2)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(* x (- 1 (pow y 2)))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(+ x (* -1 (* x (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* 1/2 (pow y 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(* (pow y 2) (+ 1/2 (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y y)
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 x x) y) (neg.f64 y))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* (pow y 2) (- (/ x (pow y 2)) x))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(neg.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 y #s(literal -1 binary64)) y))) y (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)

rewrite203.0ms (1%)

Memory
-10.4MiB live, 272.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034194
056174
1201174
21399174
08251168
Stop Event
iter limit
node limit
iter limit
Counts
20 → 534
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+.f64 (*.f64 y x) x)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 y x)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x)
(-.f64 x (*.f64 (*.f64 y y) x))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(*.f64 (*.f64 y y) x)
Outputs
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 y y))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y y) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y y) x))))
(fma.f64 (/.f64 x (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x))))
(fma.f64 (/.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (*.f64 (neg.f64 x) x))) (/.f64 x (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x))))
(fma.f64 (/.f64 x x) (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x))))
(fma.f64 (neg.f64 x) (*.f64 y y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x) x)
(fma.f64 (neg.f64 y) (*.f64 y x) x)
(fma.f64 (*.f64 (neg.f64 y) y) x x)
(fma.f64 (*.f64 (neg.f64 x) y) y x)
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) y x) (*.f64 x x)))))
(fma.f64 (*.f64 y y) (neg.f64 x) x)
(fma.f64 (*.f64 y x) (neg.f64 y) x)
(fma.f64 y (*.f64 (neg.f64 x) y) x)
(fma.f64 x (*.f64 (neg.f64 y) y) x)
(-.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 x x)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) y x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) y x) (*.f64 x x))))
(-.f64 x (*.f64 (*.f64 y y) x))
(+.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 x x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) y x) (*.f64 x x)))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 y y)) x)
(+.f64 x (*.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))

eval59.0ms (0.3%)

Memory
10.0MiB live, 128.6MiB allocated
Compiler

Compiled 14 737 to 2 162 computations (85.3% saved)

prune20.0ms (0.1%)

Memory
-19.4MiB live, 57.6MiB allocated
Pruning

19 alts after pruning (6 fresh and 13 done)

PrunedKeptTotal
New4766482
Fresh000
Picked145
Done099
Total47719496
Accuracy
100.0%
Counts
496 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
100.0%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
99.3%
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
55.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
80.3%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
80.3%
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64))))
64.6%
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
34.6%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
34.0%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
86.0%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
76.6%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
29.8%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
25.5%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
81.5%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
64.6%
#s(approx (* x (exp y)) (fma.f64 y x x))
17.5%
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x))))
64.6%
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
Compiler

Compiled 619 to 301 computations (51.4% saved)

regimes32.0ms (0.2%)

Memory
6.3MiB live, 89.0MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x))))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
Outputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
Calls

5 calls:

8.0ms
y
6.0ms
x
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
6.0ms
(*.f64 y y)
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes101.0ms (0.5%)

Memory
-20.9MiB live, 57.5MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x))))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

50.0ms
(exp.f64 (*.f64 y y))
6.0ms
x
6.0ms
y
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes48.0ms (0.2%)

Memory
3.3MiB live, 42.6MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x))))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
Outputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
Calls

5 calls:

27.0ms
x
6.0ms
y
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(*.f64 y y)
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1(*.f64 x (exp.f64 (*.f64 y y)))
99.3%1(exp.f64 (*.f64 y y))
99.3%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes82.0ms (0.4%)

Memory
-2.8MiB live, 40.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x))))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
Outputs
(*.f64 x (exp.f64 y))
Calls

5 calls:

63.0ms
x
5.0ms
y
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(*.f64 y y)
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1(*.f64 x (exp.f64 (*.f64 y y)))
98.6%1(exp.f64 (*.f64 y y))
98.6%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes24.0ms (0.1%)

Memory
35.7MiB live, 35.7MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x))))
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
Calls

5 calls:

5.0ms
x
5.0ms
y
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
86.0%1x
86.0%1y
86.0%1(*.f64 x (exp.f64 (*.f64 y y)))
86.0%1(exp.f64 (*.f64 y y))
86.0%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes67.0ms (0.3%)

Memory
-9.9MiB live, 29.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Calls

5 calls:

51.0ms
(*.f64 y y)
4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
84.5%1x
84.5%1(*.f64 x (exp.f64 (*.f64 y y)))
84.5%1(exp.f64 (*.f64 y y))
84.5%1y
84.5%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes76.0ms (0.4%)

Memory
-8.9MiB live, 27.1MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
Calls

5 calls:

61.0ms
(*.f64 y y)
4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
81.5%1x
85.2%2y
85.2%2(*.f64 y y)
85.2%2(*.f64 x (exp.f64 (*.f64 y y)))
85.2%2(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
Calls

4 calls:

3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.2%2(*.f64 x (exp.f64 (*.f64 y y)))
85.2%2y
85.2%2(*.f64 y y)
85.2%2(exp.f64 (*.f64 y y))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes35.0ms (0.2%)

Memory
-13.9MiB live, 22.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
Calls

5 calls:

23.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
x
3.0ms
y
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
81.0%1x
81.0%1y
81.0%1(*.f64 y y)
81.0%1(*.f64 x (exp.f64 (*.f64 y y)))
81.0%1(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
Calls

5 calls:

3.0ms
x
3.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
76.6%1x
81.0%2(*.f64 x (exp.f64 (*.f64 y y)))
81.0%2(exp.f64 (*.f64 y y))
81.0%2y
81.0%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes35.0ms (0.2%)

Memory
-28.5MiB live, 14.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
Calls

4 calls:

29.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
80.8%2(*.f64 x (exp.f64 (*.f64 y y)))
80.8%2(exp.f64 (*.f64 y y))
80.8%2y
80.8%2(*.f64 y y)
Compiler

Compiled 14 to 14 computations (0% saved)

regimes10.0ms (0%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
64.6%1x
76.4%2(*.f64 x (exp.f64 (*.f64 y y)))
76.5%2(exp.f64 (*.f64 y y))
76.5%2y
76.5%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes39.0ms (0.2%)

Memory
-22.8MiB live, 15.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64))))
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
Calls

5 calls:

32.0ms
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
64.6%1x
64.6%1(*.f64 x (exp.f64 (*.f64 y y)))
64.6%1y
64.6%1(exp.f64 (*.f64 y y))
64.6%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
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
55.5%1(*.f64 x (exp.f64 (*.f64 y y)))
55.5%1(exp.f64 (*.f64 y y))
55.5%1y
55.5%1(*.f64 y y)
55.5%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3289969804467794
168457.80638533222
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
168457.80638533222
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
96349988463599500.0
107683473130534670.0
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8454376943993367
12.034440590208723
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8454376943993367
12.034440590208723
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify92.0ms (0.4%)

Memory
-5.0MiB live, 33.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077303
196303
2120303
3193303
4339303
5444303
6470303
7485303
8562303
93918303
107541303
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 4 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 200000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (*.f64 y y) #s(literal 100000000000000000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 4 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 200000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (*.f64 y y) #s(literal 100000000000000000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))

soundness1.6s (7.9%)

Memory
30.9MiB live, 815.2MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03397
19597
227691
375089
498989
5116189
6131889
7143689
8143687
9176787
10180087
11180187
12182387
0182375
067187
1208187
2528179
31316177
42291177
56693177
08276151
0513
0813
11313
22613
36913
42945
026665
01666
02466
15866
224066
3196566
0826766
0129429
1422425
21091415
34053412
47588411
08413369
025129
036127
1110127
2481127
34346127
08362127
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
saturated
Compiler

Compiled 534 to 257 computations (51.9% saved)

preprocess117.0ms (0.6%)

Memory
-4.0MiB live, 157.2MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 718 to 244 computations (66% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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