Details

sample123.0ms

Algorithm

intervals

Results

44.0ms	47×	body	1280	valid
25.0ms	40×	body	640	valid
19.0ms	140×	body	80	valid
7.0ms	17×	body	320	valid
3.0ms	12×	body	160	valid

simplify24.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite97.0ms

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)))
53.0ms	(* z (sin y))
19.0ms	(* x (cos y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(- (* x (cos y)) (* z (sin y)))
82.0ms	(* z (sin y))
54.0ms	(* x (cos y))

simplify2.8s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.2s)

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

prune228.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

series196.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(fma x (cos y) (- (* z (sin y))))
72.0ms	(* z (sin y))

simplify4.5s

Counts

36 → 36

Iterations

Useful iterations: 3 (141.0ms)

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

prune211.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series705.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
129.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))

simplify3.1s

Counts

93 → 93

Iterations

Useful iterations: done (3.1s)

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

prune520.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

27.0ms	(* x (pow (pow (cos y) 2) 1/3))
78.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
8.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series450.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* x (pow (pow (cos y) 2) 1/3))
66.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
205.0ms	(cbrt (cos y))

simplify4.7s

Counts

110 → 110

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	874	842
3	3706	778
done	5000	769

prune474.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1531×	body	1280	valid
1.2s	1227×	body	640	valid
655.0ms	4330×	body	80	valid
268.0ms	619×	body	320	valid
64.0ms	293×	body	160	valid