Expression 4, p15

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.4%)

Memory
23.7MiB live, 23.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
87.5%0%0%100%0%0%0%8
93.8%0%0%100%0%0%0%9
93.8%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
96.9%0%0%100%0%0%0%12
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.3s (29.5%)

Memory
-6.1MiB live, 1 382.9MiB allocated
Samples
912.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 708.0ms
ival-<=: 245.0ms (34.6% of total)
ival-add: 188.0ms (26.6% of total)
const: 130.0ms (18.4% of total)
ival-mult: 104.0ms (14.7% of total)
ival-and: 24.0ms (3.4% of total)
exact: 14.0ms (2% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain123.0ms (2.8%)

Memory
10.5MiB live, 87.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 a b)
00-0-(*.f64 (+.f64 a b) (+.f64 a b))
00-0-a
00-0-b
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
20.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (46.9% of total)
ival-mult: 3.0ms (46.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess79.0ms (1.8%)

Memory
10.1MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
15035
221035
353335
4107535
5197035
6275635
7290035
8290035
9290035
10294235
11295835
047
067
1137
2297
3577
4807
5967
61057
71117
01117
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
Outputs
(*.f64 (+.f64 b a) (+.f64 b a))
Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify10.0ms (0.2%)

Memory
-27.0MiB live, 17.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 a b)
cost-diff0
(*.f64 (+.f64 a b) (+.f64 a b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0612
11312
22912
35712
48012
59612
610512
711112
011112
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b
Outputs
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 b a)
a
b

localize13.0ms (0.3%)

Memory
0.3MiB live, 39.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 a b)
accuracy0.01953125
(*.f64 (+.f64 a b) (+.f64 a b))
Samples
9.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (51.9% of total)
ival-add: 1.0ms (25.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 a b) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@-inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
a
@inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@0
((* (+ a b) (+ a b)) (+ a b))

simplify123.0ms (2.8%)

Memory
1.0MiB live, 155.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065270
1193264
2488264
31576252
43884252
56934252
08088222
Stop Event
iter limit
node limit
Counts
48 → 42
Calls
Call 1
Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
a
(+ a b)
(+ a b)
(+ a b)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(+ a b)
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
Outputs
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)

rewrite190.0ms (4.4%)

Memory
20.5MiB live, 305.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
068
1288
22208
328178
091518
Stop Event
iter limit
node limit
iter limit
Counts
2 → 989
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
Outputs
#<batchref>
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eval275.0ms (6.3%)

Memory
-3.6MiB live, 253.5MiB allocated
Compiler

Compiled 43 963 to 2 968 computations (93.2% saved)

prune22.0ms (0.5%)

Memory
13.4MiB live, 59.5MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 13741 141
Fresh000
Picked011
Done000
Total1 13751 142
Accuracy
100.0%
Counts
1 142 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.9%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
99.2%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 59 to 32 computations (45.8% saved)

simplify8.0ms (0.2%)

Memory
-28.8MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 b a) a)
cost-diff0
(+.f64 b a)
cost-diff384
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
cost-diff384
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01698
02697
14297
25897
310797
414191
515491
616091
016091
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(*.f64 a a)
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(+.f64 b a)
b
a
(*.f64 (+.f64 b a) a)
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (+.f64 b a) (+.f64 b a))
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(*.f64 a a)
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 (+.f64 b a) a)

localize40.0ms (0.9%)

Memory
38.0MiB live, 74.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 b a)
accuracy0.00390625
(*.f64 (+.f64 b a) a)
accuracy0.01171875
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0
(*.f64 a a)
accuracy0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
accuracy0.0078125
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
accuracy0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy0.07575899837798107
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy0
(*.f64 b b)
accuracy0.48446994894477685
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Samples
30.0ms256×0valid
Compiler

Compiled 183 to 33 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 14.0ms (70.3% of total)
ival-add: 6.0ms (30.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory
-10.1MiB live, 27.5MiB allocated
Counts
11 → 240
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@inf
((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms
b
@-inf
((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms
a
@-inf
((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms
a
@inf
((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms
b
@0
((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))

simplify145.0ms (3.3%)

Memory
14.0MiB live, 172.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881482
12831452
27681452
322491452
447261452
578781452
082941266
Stop Event
iter limit
node limit
Counts
240 → 231
Calls
Call 1
Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
a
(+ a b)
(+ a b)
(+ a b)
(pow a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(+ a b)
(+ a b)
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
Outputs
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 #s(literal 2 binary64) a)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 a a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
b
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 b a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
b
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 b a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
b
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 b a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 #s(literal 2 binary64) a)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 a a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 #s(literal 2 binary64) a)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
(*.f64 a a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) a)

rewrite395.0ms (9.1%)

Memory
-8.8MiB live, 239.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01685
02674
19774
281174
0843574
Stop Event
iter limit
node limit
iter limit
Counts
11 → 616
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 a a)
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(+.f64 b a)
(*.f64 (+.f64 b a) a)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval314.0ms (7.2%)

Memory
-16.9MiB live, 299.4MiB allocated
Compiler

Compiled 25 374 to 1 893 computations (92.5% saved)

prune23.0ms (0.5%)

Memory
7.1MiB live, 84.1MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New9881989
Fresh000
Picked044
Done011
Total9886994
Accuracy
100.0%
Counts
994 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
99.9%
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.9%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
99.2%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 73 to 40 computations (45.2% saved)

simplify4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b a)
cost-diff0
#s(approx (* (+ b a) a) (*.f64 b a))
cost-diff0
(+.f64 b a)
cost-diff0
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01231
11731
22331
33131
43531
03531
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
(+.f64 b a)
b
a
#s(approx (* (+ b a) a) (*.f64 b a))
(*.f64 b a)
Outputs
(fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (*.f64 a b)))
(+.f64 a b)
b
a
#s(approx (* (+ b a) a) (*.f64 a b))
(*.f64 a b)

localize23.0ms (0.5%)

Memory
-29.3MiB live, 56.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 b a)
accuracy0
(*.f64 b a)
accuracy0.01171875
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
accuracy0.4394702049336944
#s(approx (* (+ b a) a) (*.f64 b a))
Samples
16.0ms256×0valid
Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 6.0ms (57.9% of total)
ival-mult: 4.0ms (38.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms
b
@-inf
((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms
a
@-inf
((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms
b
@inf
((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms
a
@inf
((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))

simplify284.0ms (6.5%)

Memory
7.6MiB live, 124.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074450
1230444
2604444
31834432
44284432
57364432
08191402
Stop Event
iter limit
node limit
Counts
96 → 90
Calls
Call 1
Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
a
(+ a b)
(+ a b)
(+ a b)
(pow a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(* a b)
(* a b)
(* a b)
(* a b)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* a b)
(* a b)
(* a b)
(* a b)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* a b)
(* a b)
(* a b)
(* a b)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(+ a b)
(+ a b)
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ a b))
(* a b)
(* a b)
(* a b)
(* a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* a b)
(* a b)
(* a b)
(* a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
(*.f64 a a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
(*.f64 a b)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
(*.f64 a b)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 b b)
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
(*.f64 a b)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
(*.f64 a a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
(*.f64 a a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 (+.f64 a b) a)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)

rewrite189.0ms (4.3%)

Memory
-11.9MiB live, 216.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01229
14129
229529
3358229
0937829
Stop Event
iter limit
node limit
iter limit
Counts
4 → 225
Calls
Call 1
Inputs
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
(+.f64 b a)
#s(approx (* (+ b a) a) (*.f64 b a))
(*.f64 b a)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval83.0ms (1.9%)

Memory
5.9MiB live, 106.3MiB allocated
Compiler

Compiled 11 011 to 730 computations (93.4% saved)

prune14.0ms (0.3%)

Memory
-13.6MiB live, 24.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3150315
Fresh000
Picked011
Done055
Total3156321
Accuracy
100.0%
Counts
321 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
99.9%
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.9%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
99.2%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 146 to 63 computations (56.8% saved)

regimes11.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
Calls

4 calls:

3.0ms
(+.f64 a b)
3.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(*.f64 (+.f64 a b) (+.f64 a b))
100.0%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes10.0ms (0.2%)

Memory
-17.5MiB live, 20.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
Calls

4 calls:

4.0ms
(+.f64 a b)
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(*.f64 (+.f64 a b) (+.f64 a b))
100.0%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
Calls

4 calls:

2.0ms
b
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
(+.f64 a b)
1.0ms
a
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(*.f64 (+.f64 a b) (+.f64 a b))
99.9%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0.2%)

Memory
-20.5MiB live, 16.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Calls

4 calls:

3.0ms
(+.f64 a b)
1.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(*.f64 (+.f64 a b) (+.f64 a b))
99.2%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify24.0ms (0.6%)

Memory
14.8MiB live, 60.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
11749
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (+.f64 b a) (+.f64 b a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

soundness536.0ms (12.3%)

Memory
-20.3MiB live, 130.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065270
1193264
2488264
31576252
43884252
56934252
08088222
Stop Event
done
iter limit
node limit
Compiler

Compiled 58 to 23 computations (60.3% saved)

preprocess68.0ms (1.6%)

Memory
30.6MiB live, 106.7MiB allocated
Compiler

Compiled 210 to 90 computations (57.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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