Details

Time bar (total: 29.9s)

sample136.0ms

Algorithm
intervals
Results
87.0ms660×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
4950
3290
296
143
023

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.0b
(* x (- (* y z) (* t a)))
5.7b
(* b (- (* c z) (* i a)))
6.0b
(* j (- (* c t) (* i y)))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
19×flip3-- flip--
16×add-sqr-sqrt
12×frac-add
11×sub-neg
10×distribute-rgt-in pow1 *-un-lft-identity distribute-lft-in add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r* associate-*l* add-log-exp
8×frac-sub
6×associate-+l+
4×associate-+r+ associate--l+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sum-log
1×+-commutative flip3-+ diff-log associate-+l- flip-+
Counts
4 → 107
Calls
4 calls:
109.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
41.0ms
(* x (- (* y z) (* t a)))
29.0ms
(* b (- (* c z) (* i a)))
31.0ms
(* j (- (* c t) (* i y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
906.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
109.0ms
(* x (- (* y z) (* t a)))
97.0ms
(* b (- (* c z) (* i a)))
120.0ms
(* j (- (* c t) (* i y)))

simplify1.5s

Counts
119 → 119
Iterations
IterNodes
done5001
11004
0275

prune1.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.7b

localize85.0ms

Local error

Found 4 expressions with local error:

6.0b
(* j (- (* c t) (* i y)))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 cbrt-div *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
30.0ms
(* j (- (* c t) (* i y)))
11.0ms
(cbrt (* j (- (* c t) (* i y))))
8.0ms
(cbrt (* j (- (* c t) (* i y))))
14.0ms
(cbrt (* j (- (* c t) (* i y))))

series773.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* j (- (* c t) (* i y)))
212.0ms
(cbrt (* j (- (* c t) (* i y))))
232.0ms
(cbrt (* j (- (* c t) (* i y))))
223.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify2.1s

Counts
69 → 69
Iterations
IterNodes
done5000
33576
2866
1267
0103

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.6b

localize152.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
86×cbrt-div
68×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
4×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 69
Calls
4 calls:
16.0ms
(cbrt (* j (- (* c t) (* i y))))
12.0ms
(cbrt (* j (- (* c t) (* i y))))
9.0ms
(cbrt (* j (- (* c t) (* i y))))
110.0ms
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

series985.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt (* j (- (* c t) (* i y))))
239.0ms
(cbrt (* j (- (* c t) (* i y))))
237.0ms
(cbrt (* j (- (* c t) (* i y))))
255.0ms
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

simplify1.8s

Counts
81 → 81
Iterations
IterNodes
done5001
32290
2686
1319
0166

prune1.5s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 7.6b

localize120.0ms

Local error

Found 4 expressions with local error:

5.7b
(* b (- (* c z) (* i a)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-div add-cbrt-cube add-exp-log
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
34.0ms
(* b (- (* c z) (* i a)))
5.0ms
(cbrt (- (* c t) (* i y)))
5.0ms
(cbrt (- (* c t) (* i y)))
5.0ms
(cbrt (- (* c t) (* i y)))

series673.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* b (- (* c z) (* i a)))
177.0ms
(cbrt (- (* c t) (* i y)))
200.0ms
(cbrt (- (* c t) (* i y)))
184.0ms
(cbrt (- (* c t) (* i y)))

simplify2.5s

Counts
75 → 75
Iterations
IterNodes
done5001
34115
21029
1326
0122

prune1.0s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.6b

regimes4.6s

Accuracy

6.3% (5.3b remaining)

Error of 12.2b against oracle of 6.9b and baseline of 12.6b

bsearch376.0ms

Steps
ItersRangePoint
7
1.6640978279712404e-263
1.8671875964097189e-261
9.95588474272539e-263
9
-2.218390548824099e-183
-7.850409647468441e-190
-3.3583828061503767e-188

simplify16.0ms

Iterations
IterNodes
done58
158
042

end0.0ms

sample5.5s

Algorithm
intervals
Results
4.1s19294×body80valid