Details

Time bar (total: 14.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms300×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3467
4637
5677
done677

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 1 expressions with local error:

1.7b
(* x (- 1.0 (* y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
34.0ms
(* x (- 1.0 (* y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (- 1.0 (* y z)))

simplify2.0s

Counts
27 → 27
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
051267
1122264
2341232
31246232
done5001232

prune117.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
49.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
153.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
286.0ms
(cbrt (- 1.0 (* y z)))
271.0ms
(cbrt (- 1.0 (* y z)))
307.0ms
(cbrt (- 1.0 (* y z)))

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01361519
13381455
29871334
331821146
done50011100

prune320.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-*r/
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
143.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
11.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
6.0ms
(cbrt (- 1.0 (* y z)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
265.0ms
(cbrt (- 1.0 (* y z)))
271.0ms
(cbrt (- 1.0 (* y z)))
321.0ms
(cbrt (- 1.0 (* y z)))

simplify3.8s

Counts
101 → 101
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01682943
14512810
214312452
345502147
done50012099

prune374.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* y z))))
1.7b
(* x (- 1.0 (* y z)))
1.7b
(* x (- 1.0 (* y z)))
1.7b
(* x (- 1.0 (* y z)))

rewrite70.0ms

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*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
6.0ms
(cbrt (* x (- 1.0 (* y z))))
18.0ms
(* x (- 1.0 (* y z)))
23.0ms
(* x (- 1.0 (* y z)))
20.0ms
(* x (- 1.0 (* y z)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (* x (- 1.0 (* y z))))
61.0ms
(* x (- 1.0 (* y z)))
58.0ms
(* x (- 1.0 (* y z)))
67.0ms
(* x (- 1.0 (* y z)))

simplify1.2s

Counts
95 → 95
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0961000
1220984
2600870
32039860
done5000851

prune301.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 1.7b

regimes250.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample925.0ms

Algorithm
intervals
Results
435.0ms9659×body80valid