Details

sample54.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	valid
12.0ms	51×	body	640	valid
6.0ms	129×	body	80	valid
3.0ms	19×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune9.0ms

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 (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite9.0ms

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 (sin y) (* z (cos y)))
8.0ms	(* z (cos y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(fma x (sin y) (* z (cos y)))
37.0ms	(* z (cos y))

simplify53.0ms

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	715	130
3	1541	130
4	5001	130
done	5001	130

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite32.0ms

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:

18.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
126.0ms	(cbrt (* z (cos y)))
125.0ms	(cbrt (* z (cos y)))
130.0ms	(cbrt (* z (cos y)))

simplify117.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	179	463
1	700	412
2	3661	382
3	5001	357
done	5001	357

prune252.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1/3` `associate-l`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 59

Calls

4 calls:

37.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
179.0ms	(cbrt z)
128.0ms	(cbrt (* z (cos y)))
123.0ms	(cbrt (* z (cos y)))

simplify92.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	220	446
1	728	410
2	3246	388
3	5001	369
done	5001	369

prune266.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite17.0ms

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 (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (* z (cos y)))
124.0ms	(cbrt (* z (cos y)))
123.0ms	(cbrt (* z (cos y)))
127.0ms	(cbrt (* z (cos y)))

simplify153.0ms

Counts

56 → 56

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	72	292
1	173	264
2	678	252
3	4088	240
4	5001	240
done	5001	240

prune225.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b 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

602.0ms	1510×	body	1280	valid
309.0ms	1286×	body	640	valid
231.0ms	4270×	body	80	valid
111.0ms	628×	body	320	valid
41.0ms	306×	body	160	valid