Details

sample121.0ms

Algorithm

intervals

Results

44.0ms	176×	body	80	valid
22.0ms	24×	body	1280	valid
17.0ms	29×	body	640	valid
7.0ms	17×	body	320	valid
3.0ms	10×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	41	9
4	57	9
5	68	9
6	131	9
7	343	9
8	885	9
9	2386	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u` `distribute-lft-out`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

93.0ms	(- (+ x (cos y)) (* z (sin y)))
13.0ms	(+ x (cos y))
18.0ms	(* z (sin y))

series194.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (+ x (cos y)) (* z (sin y)))
44.0ms	(+ x (cos y))
69.0ms	(* z (sin y))

simplify857.0ms

Counts

70 → 70

Iterations

Useful iterations: done (854.0ms)

Iter	Nodes	Cost
0	96	633
1	232	600
2	730	556
done	5000	540

prune450.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

35.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series696.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
157.0ms	(cbrt (sin y))
176.0ms	(cbrt (sin y))
166.0ms	(cbrt (sin y))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	79	750
1	183	664
2	715	564
done	5000	549

prune784.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt z) (cbrt z))
329.0ms	(cbrt z)
359.0ms	(cbrt z)
369.0ms	(cbrt z)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune621.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt z)
310.0ms	(cbrt z)
342.0ms	(cbrt z)
340.0ms	(cbrt z)

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	26	284
1	47	268
2	115	244
3	334	232
4	1002	232
done	5001	232

prune630.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	5593×	body	80	valid
1.2s	1026×	body	1280	valid
556.0ms	786×	body	640	valid
220.0ms	385×	body	320	valid
59.0ms	209×	body	160	valid
3.0ms	1×	body	2560	valid