Details

sample24.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify678.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	101	11
5	132	11
6	159	11
7	181	11
8	224	11
9	281	11
10	313	11
11	355	11
12	390	11
13	402	11
done	402	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.9b	(/ (* y (- z t)) (- z a))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

41.0ms	(* y (- z t))
33.0ms	(/ (* y (- z t)) (- z a))

series145.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* y (- z t))
87.0ms	(/ (* y (- z t)) (- z a))

simplify2.2s

Counts

61 → 61

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	105	599
1	267	575
2	869	501
3	3979	501
done	5000	501

prune136.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

35.0ms	(/ (- z t) (- z a))
50.0ms	(* y (/ (- z t) (- z a)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z t) (- z a))
110.0ms	(* y (/ (- z t) (- z a)))

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	138	1319
1	347	1247
2	946	1165
3	2828	1165
done	5000	1165

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

11.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))

series742.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (- z t))
177.0ms	(cbrt (- z a))
225.0ms	(cbrt (- z a))
177.0ms	(cbrt (- z a))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	118	744
1	245	728
2	486	696
3	1006	654
4	2514	596
done	5001	580

prune352.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))
8.0ms	(cbrt (- z a))

series781.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (- z a))
173.0ms	(cbrt (- z a))
180.0ms	(cbrt (- z a))
236.0ms	(cbrt (- z a))

simplify3.5s

Counts

72 → 72

Iterations

Useful iterations: 5 (1.8s)

Iter	Nodes	Cost
0	70	744
1	146	728
2	288	696
3	595	656
4	1440	596
5	4545	580
done	5000	580

prune406.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33
done	19	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

798.0ms	8669×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid