Details

sample53.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
8.0ms	150×	body	80	valid
8.0ms	30×	body	640	valid
4.0ms	23×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

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

rewrite5.0ms

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

series113.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(fma x (sin y) (* z (cos y)))
36.0ms	(* z (cos y))

simplify3.2s

Counts

36 → 36

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	50	271
1	86	266
2	248	233
3	549	233
4	1163	233
5	3596	233
done	5001	233

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite11.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series435.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (312.0ms)

Iter	Nodes	Cost
0	68	726
1	131	655
2	486	551
3	2287	529
done	5000	529

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

13.0ms	(* z (pow (pow (cos y) 2) 1/3))
18.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* z (pow (pow (cos y) 2) 1/3))
35.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
23.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))

simplify806.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	141	1143
1	334	945
2	1360	842
done	5001	842

prune357.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (cos y))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
0.0ms	(expm1 (cbrt (cos y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(log1p (expm1 (cbrt (cos y))))
16.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))
193.0ms	(expm1 (cbrt (cos y)))

simplify1.7s

Counts

67 → 67

Iterations

Useful iterations: 3 (342.0ms)

Iter	Nodes	Cost
0	89	442
1	180	373
2	592	340
3	2035	331
done	5000	331

prune229.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes113.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

615.0ms	1486×	body	1280	valid
302.0ms	1191×	body	640	valid
248.0ms	4335×	body	80	valid
119.0ms	665×	body	320	valid
39.0ms	323×	body	160	valid