Details

sample82.0ms

Algorithm

intervals

Results

28.0ms	45×	body	1280	valid
17.0ms	45×	body	640	valid
11.0ms	123×	body	80	valid
9.0ms	30×	body	320	valid
2.0ms	13×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

23.0ms	(- (* x (cos y)) (* z (sin y)))
18.0ms	(* x (cos y))
19.0ms	(* z (sin y))

series260.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(- (* x (cos y)) (* z (sin y)))
65.0ms	(* x (cos y))
78.0ms	(* z (sin y))

simplify3.1s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	92	527
1	191	495
2	441	459
3	1134	459
4	2551	453
done	5000	453

prune292.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (- (* (sin y) z)))
0.2b	(* (sin y) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (cos y) (- (* (sin y) z)))
20.0ms	(* (sin y) z)

series153.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(fma x (cos y) (- (* (sin y) z)))
48.0ms	(* (sin y) z)

simplify2.5s

Counts

36 → 36

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	49	281
1	86	278
2	221	244
3	492	244
4	1357	244
done	5000	244

prune225.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (- z) (sin y) (* x (cos y)))
0.1b	(* x (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (- z) (sin y) (* x (cos y)))
9.0ms	(* x (cos y))

series168.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma (- z) (sin y) (* x (cos y)))
57.0ms	(* x (cos y))

simplify4.4s

Counts

36 → 36

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	51	284
1	91	281
2	176	247
3	356	247
4	985	247
5	4425	247
done	5000	247

prune144.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite32.0ms

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:

23.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt z) (cbrt z))
328.0ms	(cbrt z)
309.0ms	(cbrt z)
283.0ms	(cbrt z)

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune445.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
2	25	16
3	27	16
done	27	16

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	1519×	body	1280	valid
1.1s	1197×	body	640	valid
436.0ms	4369×	body	80	valid
177.0ms	600×	body	320	valid
132.0ms	315×	body	160	valid