Details

sample43.0ms

Algorithm

intervals

Results

21.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.7b	(fma (/ y (- z a)) (- z t) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

20.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series168.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ y (- z a))
110.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.4s

Counts

55 → 55

Iterations

Useful iterations: 4 (894.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune279.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.6b	(/ 1 (/ (- z a) y))
2.7b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

38.0ms	(/ (- z a) y)
38.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series338.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- z a) y)
126.0ms	(/ 1 (/ (- z a) y))
153.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify2.5s

Counts

161 → 161

Iterations

Useful iterations: 3 (896.0ms)

Iter	Nodes	Cost
0	210	2152
1	450	1827
2	892	1582
3	2173	1552
done	5000	1552

prune472.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) y)
11.5b	(/ (- z t) (/ (- z a) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

31.0ms	(/ (- z a) y)
41.0ms	(/ (- z t) (/ (- z a) y))

series219.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z a) y)
166.0ms	(/ (- z t) (/ (- z a) y))

simplify1.7s

Counts

185 → 185

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	251	3162
1	691	2968
2	2282	2866
done	5000	2864

prune686.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
2.8b	(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
295×	`cbrt-prod`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 330

Calls

4 calls:

9.0ms	(cbrt (- z a))
9.0ms	(cbrt (- z a))
10.0ms	(cbrt (- z a))
63.0ms	(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt (- z a))
254.0ms	(cbrt (- z a))
236.0ms	(cbrt (- z a))
456.0ms	(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

simplify2.1s

Counts

342 → 342

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	452	7577
1	944	7073
2	2596	6947
done	5001	6906

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	33
1	18	33
done	18	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

553.0ms	8669×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid