Details

sample95.0ms

Algorithm

intervals

Results

39.0ms	52×	body	1280	valid
14.0ms	145×	body	80	valid
13.0ms	32×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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)))
22.0ms	(* z (sin y))

series236.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(fma x (cos y) (* z (sin y)))
100.0ms	(* z (sin y))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (280.0ms)

Iter	Nodes	Cost
0	49	269
1	89	264
2	240	234
3	1121	232
4	4628	232
done	5000	232

prune116.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

series138.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(fma z (sin y) (* x (cos y)))
41.0ms	(* x (cos y))

simplify4.5s

Counts

36 → 36

Iterations

Useful iterations: 3 (326.0ms)

Iter	Nodes	Cost
0	50	271
1	92	265
2	271	235
3	1097	233
4	4332	233
done	5000	233

prune243.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
23.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (cos y))
170.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))
242.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	643	551
done	5001	537

prune487.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite102.0ms

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:

26.0ms	(* x (pow (pow (cos y) 2) 1/3))
64.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series308.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* x (pow (pow (cos y) 2) 1/3))
46.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
135.0ms	(cbrt (cos y))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	141	1143
1	372	954
2	1861	846
done	5001	824

prune535.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample3.9s

Algorithm

intervals

Results

1.3s	1281×	body	640	valid
1.2s	1475×	body	1280	valid
577.0ms	4306×	body	80	valid
243.0ms	625×	body	320	valid
125.0ms	313×	body	160	valid