Details

Time bar (total: 27.9s)

sample129.0ms

Algorithm
intervals
Results
75.0ms660×body80valid

simplify1.7s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize60.0ms

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)))

rewrite167.0ms

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:
69.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
33.0ms
(* x (- (* y z) (* t a)))
20.0ms
(* b (- (* c z) (* i a)))
38.0ms
(* j (- (* c t) (* i y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
809.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
97.0ms
(* x (- (* y z) (* t a)))
100.0ms
(* b (- (* c z) (* i a)))
87.0ms
(* j (- (* c t) (* i y)))

simplify1.4s

Counts
119 → 119
Iterations
IterNodes
done5001
11004
0275

prune1.5s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.7b

localize126.0ms

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))))

rewrite71.0ms

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:
27.0ms
(* j (- (* c t) (* i y)))
16.0ms
(cbrt (* j (- (* c t) (* i y))))
13.0ms
(cbrt (* j (- (* c t) (* i y))))
14.0ms
(cbrt (* j (- (* c t) (* i y))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* j (- (* c t) (* i y)))
200.0ms
(cbrt (* j (- (* c t) (* i y))))
179.0ms
(cbrt (* j (- (* c t) (* i y))))
203.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify2.2s

Counts
69 → 69
Iterations
IterNodes
done5000
33576
2866
1267
0103

prune1.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.6b

localize142.0ms

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))))))

rewrite122.0ms

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:
8.0ms
(cbrt (* j (- (* c t) (* i y))))
8.0ms
(cbrt (* j (- (* c t) (* i y))))
9.0ms
(cbrt (* j (- (* c t) (* i y))))
92.0ms
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt (* j (- (* c t) (* i y))))
222.0ms
(cbrt (* j (- (* c t) (* i y))))
200.0ms
(cbrt (* j (- (* c t) (* i y))))
186.0ms
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done5001
32290
2686
1319
0166

prune2.0s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 7.6b

localize123.0ms

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)))

rewrite69.0ms

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:
42.0ms
(* b (- (* c z) (* i a)))
9.0ms
(cbrt (- (* c t) (* i y)))
9.0ms
(cbrt (- (* c t) (* i y)))
9.0ms
(cbrt (- (* c t) (* i y)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* b (- (* c z) (* i a)))
164.0ms
(cbrt (- (* c t) (* i y)))
145.0ms
(cbrt (- (* c t) (* i y)))
142.0ms
(cbrt (- (* c t) (* i y)))

simplify2.3s

Counts
75 → 75
Iterations
IterNodes
done5001
34115
21029
1326
0122

prune970.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.6b

regimes3.8s

Accuracy

6.3% (5.3b remaining)

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

bsearch289.0ms

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

simplify8.0ms

Iterations
IterNodes
done58
158
042

end0.0ms

sample5.0s

Algorithm
intervals
Results
3.6s19294×body80valid