Details

Time bar (total: 17.1s)

sample120.0ms

Algorithm
intervals
Results
66.0ms631×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
14329
29629
329029
496929
done500029

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c a) (* y i))
5.4b
(* x (- (* y z) (* t a)))
5.6b
(* b (- (* c z) (* t i)))
6.3b
(* j (- (* c a) (* y i)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
14.0ms
(- (* c a) (* y i))
41.0ms
(* x (- (* y z) (* t a)))
38.0ms
(* b (- (* c z) (* t i)))
28.0ms
(* j (- (* c a) (* y i)))

series359.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* c a) (* y i))
104.0ms
(* x (- (* y z) (* t a)))
111.0ms
(* b (- (* c z) (* t i)))
95.0ms
(* j (- (* c a) (* y i)))

simplify950.0ms

Counts
96 → 96
Iterations

Useful iterations: done (946.0ms)

IterNodesCost
01671155
14571141
218371015
done50011007

prune965.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.9b

localize41.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (* y z))
5.1b
(* a (* x t))
5.6b
(* b (- (* c z) (* t i)))
6.3b
(* j (- (* c a) (* y i)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
31.0ms
(* x (* y z))
28.0ms
(* a (* x t))
27.0ms
(* b (- (* c z) (* t i)))
48.0ms
(* j (- (* c a) (* y i)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* x (* y z))
34.0ms
(* a (* x t))
93.0ms
(* b (- (* c z) (* t i)))
81.0ms
(* j (- (* c a) (* y i)))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0173958
1462946
21818808
done5000806

prune611.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.2b

localize50.0ms

Local error

Found 4 expressions with local error:

5.0b
(* z (* b c))
5.1b
(* x (* y z))
5.1b
(* a (* x t))
6.3b
(* j (- (* c a) (* y i)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-sqr-sqrt
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
29.0ms
(* z (* b c))
33.0ms
(* x (* y z))
44.0ms
(* a (* x t))
37.0ms
(* j (- (* c a) (* y i)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* z (* b c))
52.0ms
(* x (* y z))
45.0ms
(* a (* x t))
94.0ms
(* j (- (* c a) (* y i)))

simplify1.3s

Counts
90 → 90
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0154779
1402767
21521639
done5001637

prune678.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.7b

localize36.0ms

Local error

Found 4 expressions with local error:

5.0b
(* z (* b c))
5.1b
(* x (* y z))
6.0b
(* t (* x a))
6.3b
(* j (- (* c a) (* y i)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-sqr-sqrt
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
21.0ms
(* z (* b c))
16.0ms
(* x (* y z))
17.0ms
(* t (* x a))
40.0ms
(* j (- (* c a) (* y i)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* z (* b c))
42.0ms
(* x (* y z))
56.0ms
(* t (* x a))
110.0ms
(* j (- (* c a) (* y i)))

simplify1.2s

Counts
90 → 90
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0154779
1402767
21508639
done5000637

prune514.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.7b

regimes1.6s

Accuracy

30.3% (7.5b remaining)

Error of 9.6b against oracle of 2.1b and baseline of 12.8b

bsearch241.0ms

Steps
ItersRangePoint
6
6.1789180924309e+44
2.8354281296472116e+45
1.1381732784857459e+45
9
-3.843397029461991e-98
-6.45769992111697e-106
-2.7572916487629644e-98

simplify45.0ms

Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
050115
110079
213679
314279
done14279

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.2s19344×body80valid