Details

sample115.0ms

Algorithm

intervals

Results

39.0ms	45×	body	1280	valid
25.0ms	45×	body	640	valid
15.0ms	123×	body	80	valid
13.0ms	31×	body	320	valid
3.0ms	12×	body	160	valid

simplify6.0ms

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: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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)))
19.0ms	(* z (cos y))

series237.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(fma x (sin y) (* z (cos y)))
103.0ms	(* z (cos y))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	50	271
1	85	266
2	167	237
3	324	233
4	757	233
5	3020	233
done	5000	233

prune193.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

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))

rewrite42.0ms

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:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series706.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
130.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))
187.0ms	(cbrt (cos y))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

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

prune447.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

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	(* z (pow (pow (cos y) 2) 1/3))
53.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* z (pow (pow (cos y) 2) 1/3))
40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
38.0ms	(pow (cos y) 2)
153.0ms	(cbrt (cos y))

simplify3.7s

Counts

110 → 110

Iterations

Useful iterations: done (3.7s)

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

prune574.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (* z (cbrt (pow (cos y) 2))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite68.0ms

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-l` `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-r` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

51.0ms	(* (cbrt (cos y)) (* z (cbrt (pow (cos y) 2))))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))
5.0ms	(cbrt (pow (cos y) 2))

series510.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (cos y)) (* z (cbrt (pow (cos y) 2))))
25.0ms	(pow (cos y) 2)
176.0ms	(cbrt (cos y))
261.0ms	(cbrt (pow (cos y) 2))

simplify2.6s

Counts

86 → 86

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	113	761
1	232	709
2	649	619
3	2751	597
done	5000	586

prune485.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	1520×	body	1280	valid
1.1s	4363×	body	80	valid
1.0s	1200×	body	640	valid
253.0ms	598×	body	320	valid
142.0ms	319×	body	160	valid