Details

sample58.0ms

Algorithm

intervals

Results

23.0ms	53×	body	1280	valid
12.0ms	50×	body	640	valid
7.0ms	129×	body	80	valid
3.0ms	20×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4
done	15	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin 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 x (cos y) (* z (sin y)))
9.0ms	(* z (sin y))

series112.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(fma x (cos y) (* z (sin y)))
42.0ms	(* z (sin y))

simplify50.0ms

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	149
1	279	130
2	726	130
3	1552	130
4	5002	130
done	5002	130

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

21.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
123.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))
121.0ms	(cbrt (* z (sin y)))

simplify89.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368
done	5002	368

prune256.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite20.0ms

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:

14.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series395.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
98.0ms	(cbrt (sin y))
92.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))

simplify95.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392
done	5001	392

prune288.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (* z (sin y)))
123.0ms	(cbrt (* z (sin y)))
123.0ms	(cbrt (* z (sin y)))
128.0ms	(cbrt (* z (sin y)))

simplify67.0ms

Counts

56 → 56

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	81	324
1	167	296
2	501	260
3	2120	244
4	5001	244
done	5001	244

prune237.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4
done	8	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

618.0ms	1511×	body	1280	valid
325.0ms	1282×	body	640	valid
235.0ms	4269×	body	80	valid
107.0ms	631×	body	320	valid
36.0ms	307×	body	160	valid