Details

Time bar (total: 29.5s)

sample179.0ms

Algorithm
intervals
Results
104.0ms654×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
023569
143569
296569
3290569
4721569
51885569
done5000569

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c z) (* t i))
3.5b
(* b (- (* c z) (* t i)))
5.7b
(* x (- (* y z) (* t a)))
6.1b
(* j (- (* c a) (* y i)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
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:
6.0ms
(- (* c z) (* t i))
22.0ms
(* b (- (* c z) (* t i)))
20.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* j (- (* c a) (* y i)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* c z) (* t i))
125.0ms
(* b (- (* c z) (* t i)))
97.0ms
(* x (- (* y z) (* t a)))
96.0ms
(* j (- (* c a) (* y i)))

simplify1.7s

Counts
96 → 96
Iterations

Useful iterations: done (1.7s)

IterNodesCost
016621661
145520294
2143520054
done500119814

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.9b

localize111.0ms

Local error

Found 4 expressions with local error:

6.1b
(* j (- (* c a) (* y i)))
6.7b
(cbrt (* j (- (* c a) (* y i))))
6.7b
(cbrt (* j (- (* c a) (* y i))))
6.7b
(cbrt (* j (- (* c a) (* y i))))

rewrite72.0ms

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:
44.0ms
(* j (- (* c a) (* y i)))
8.0ms
(cbrt (* j (- (* c a) (* y i))))
8.0ms
(cbrt (* j (- (* c a) (* y i))))
8.0ms
(cbrt (* j (- (* c a) (* y i))))

series647.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* j (- (* c a) (* y i)))
184.0ms
(cbrt (* j (- (* c a) (* y i))))
209.0ms
(cbrt (* j (- (* c a) (* y i))))
168.0ms
(cbrt (* j (- (* c a) (* y i))))

simplify2.5s

Counts
69 → 69
Iterations

Useful iterations: done (2.4s)

IterNodesCost
010323385
126422107
275221747
3253421227
done500121134

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.8b

localize126.0ms

Local error

Found 4 expressions with local error:

6.1b
(* j (- (* c a) (* y i)))
6.7b
(cbrt (* j (- (* c a) (* y i))))
6.7b
(cbrt (* j (- (* c a) (* y i))))
6.7b
(cbrt (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
8×add-sqr-sqrt
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:
23.0ms
(* j (- (* c a) (* y i)))
18.0ms
(cbrt (* j (- (* c a) (* y i))))
17.0ms
(cbrt (* j (- (* c a) (* y i))))
74.0ms
(cbrt (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* j (- (* c a) (* y i)))
188.0ms
(cbrt (* j (- (* c a) (* y i))))
183.0ms
(cbrt (* j (- (* c a) (* y i))))
173.0ms
(cbrt (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

simplify2.9s

Counts
69 → 69
Iterations

Useful iterations: done (2.8s)

IterNodesCost
012125066
130123788
286523468
3317822908
done506121375

prune1.1s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 8.8b

localize153.0ms

Local error

Found 4 expressions with local error:

6.7b
(cbrt (* j (- (* c a) (* y i))))
6.7b
(cbrt (* j (- (* c a) (* y i))))
6.7b
(cbrt (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))
6.7b
(cbrt (* (* (cbrt (* j (- (* c a) (* y i)))) (cbrt (* j (- (* c a) (* y i))))) (cbrt (* j (- (* c a) (* y i))))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
86×cbrt-div
70×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 a) (* y i))))
16.0ms
(cbrt (* j (- (* c a) (* y i))))
61.0ms
(cbrt (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))
116.0ms
(cbrt (* (* (cbrt (* j (- (* c a) (* y i)))) (cbrt (* j (- (* c a) (* y i))))) (cbrt (* j (- (* c a) (* y i))))))

series876.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (* j (- (* c a) (* y i))))
249.0ms
(cbrt (* j (- (* c a) (* y i))))
209.0ms
(cbrt (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))
221.0ms
(cbrt (* (* (cbrt (* j (- (* c a) (* y i)))) (cbrt (* j (- (* c a) (* y i))))) (cbrt (* j (- (* c a) (* y i))))))

simplify2.8s

Counts
81 → 81
Iterations

Useful iterations: done (2.7s)

IterNodesCost
018562456
134954390
275654070
3226651670
done500450106

prune1.2s

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 8.8b

regimes3.2s

Accuracy

0% (4.0b remaining)

Error of 12.7b against oracle of 8.6b and baseline of 12.7b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0311009
1441009
done441009

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.9s19113×body80valid