Details

sample114.0ms

Algorithm

intervals

Results

44.0ms	49×	body	1280	valid
21.0ms	35×	body	640	valid
18.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
3.0ms	13×	body	160	valid

simplify25.0ms

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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:

22.0ms	(- (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
17.0ms	(* x (cos y))

series234.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- (* x (cos y)) (* z (sin y)))
61.0ms	(* z (sin y))
59.0ms	(* x (cos y))

simplify3.1s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	92	527
1	191	495
2	441	459
3	1122	459
4	2532	453
done	5000	453

prune296.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

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) (- (* z (sin y))))
20.0ms	(* z (sin y))

series169.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(fma x (cos y) (- (* z (sin y))))
67.0ms	(* z (sin y))

simplify4.1s

Counts

36 → 36

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	50	281
1	89	278
2	169	248
3	347	244
4	954	244
5	4387	244
done	5000	244

prune165.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite26.0ms

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:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series760.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
146.0ms	(cbrt (cos y))
161.0ms	(cbrt (cos y))
187.0ms	(cbrt (cos y))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune474.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

55.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
5.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series478.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
28.0ms	(pow (cos y) 2)
260.0ms	(cbrt (pow (cos y) 2))
139.0ms	(cbrt (cos y))

simplify2.9s

Counts

86 → 86

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	112	763
1	238	704
2	720	610
3	3092	590
done	5000	579

prune386.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	18	18
done	18	18

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.0s	1438×	body	1280	valid
912.0ms	1297×	body	640	valid
564.0ms	4334×	body	80	valid
349.0ms	630×	body	320	valid
76.0ms	301×	body	160	valid