Details

Time bar (total: 20.2s)

sample66.0ms

Algorithm
intervals
Results
42.0ms709×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01217
12517
24017
36617
411817
525517
684917
7368817
done500017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b
(* 4.0 (* b b))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
8×add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp pow-pow flip3-+ associate-*r* pow-exp sum-log *-commutative flip-+ unswap-sqr sqr-pow
Counts
3 → 47
Calls
3 calls:
94.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
20.0ms
(* 4.0 (* b b))
11.0ms
(pow (+ (* a a) (* b b)) 2.0)

series276.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
34.0ms
(* 4.0 (* b b))
150.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
0101765
1242693
2670647
32010647
done5001647

prune157.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
1.8b
(* (pow a 2) (pow b 2))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
28×prod-exp
24×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×associate-*l*
10×add-cbrt-cube unpow2 sqr-pow
9×associate-*r*
8×add-cube-cbrt *-un-lft-identity
5×pow1 add-log-exp
4×cbrt-unprod
2×pow-prod-down *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 87
Calls
3 calls:
15.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
42.0ms
(* 2 (* (pow a 2) (pow b 2)))
20.0ms
(* (pow a 2) (pow b 2))

series184.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
50.0ms
(* 2 (* (pow a 2) (pow b 2)))
43.0ms
(* (pow a 2) (pow b 2))

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01221229
12961062
2927884
done5001874

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* b b))
0.1b
(pow (pow (+ (* a a) (* b b)) 2.0) 3)
0.3b
(pow (+ (* a a) (* b b)) 2.0)
27.2b
(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
29×unpow-prod-down
20×cbrt-prod
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
14×cube-prod
12×add-exp-log
10×pow1 add-cbrt-cube
7×sqr-pow
6×pow-unpow
5×pow-exp
4×add-log-exp
3×pow-to-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×cube-mult pow-pow unpow3
1×pow1/3 associate-*r* *-commutative rem-cbrt-cube rem-cube-cbrt unswap-sqr
Counts
4 → 98
Calls
4 calls:
18.0ms
(* 4.0 (* b b))
20.0ms
(pow (pow (+ (* a a) (* b b)) 2.0) 3)
11.0ms
(pow (+ (* a a) (* b b)) 2.0)
23.0ms
(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series1.0s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 4.0 (* b b))
208.0ms
(pow (pow (+ (* a a) (* b b)) 2.0) 3)
145.0ms
(pow (+ (* a a) (* b b)) 2.0)
605.0ms
(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify5.7s

Counts
110 → 110
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
01491779
13401434
28981406
349141398
done50011398

prune350.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

51% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.1b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03270
14252
done4252

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.3s20340×body80valid