Details

sample90.0ms

Algorithm

intervals

Results

31.0ms	47×	body	1280	valid
19.0ms	40×	body	640	valid
13.0ms	140×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite12.0ms

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)))
11.0ms	(* z (sin y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(fma x (cos y) (* z (sin y)))
48.0ms	(* z (sin y))

simplify3.1s

Counts

36 → 36

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	49	269
1	83	264
2	165	232
3	321	232
4	755	232
5	3025	232
done	5000	232

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))

rewrite27.0ms

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:

19.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
298.0ms	(cbrt (fma x (cos y) (* z (sin y))))
314.0ms	(cbrt (fma x (cos y) (* z (sin y))))
343.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify4.4s

Counts

93 → 93

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	120	1813
1	272	1680
2	685	1528
3	1702	1317
4	4844	1258
done	5000	1254

prune495.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
1.1b	(pow (cbrt (cbrt (fma x (cos y) (* z (sin y))))) 5)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
10.0ms	(pow (cbrt (cbrt (fma x (cos y) (* z (sin y))))) 5)

series1.4s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt (fma x (cos y) (* z (sin y))))
323.0ms	(cbrt (fma x (cos y) (* z (sin y))))
307.0ms	(cbrt (fma x (cos y) (* z (sin y))))
448.0ms	(pow (cbrt (cbrt (fma x (cos y) (* z (sin y))))) 5)

simplify3.5s

Counts

77 → 77

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	132	1313
1	308	1252
2	719	1129
3	1719	1097
4	4494	1045
done	5000	1039

prune521.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
1.1b	(pow (cbrt (cbrt (fma x (cos y) (* z (sin y))))) 5)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
9.0ms	(pow (cbrt (cbrt (fma x (cos y) (* z (sin y))))) 5)

series1.4s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt (fma x (cos y) (* z (sin y))))
325.0ms	(cbrt (fma x (cos y) (* z (sin y))))
307.0ms	(cbrt (fma x (cos y) (* z (sin y))))
492.0ms	(pow (cbrt (cbrt (fma x (cos y) (* z (sin y))))) 5)

simplify3.8s

Counts

77 → 77

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	132	1313
1	308	1252
2	719	1129
3	1719	1097
4	4494	1045
done	5000	1039

prune543.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes224.0ms

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

sample4.6s

Algorithm

intervals

Results

2.4s	1531×	body	1280	valid
664.0ms	1227×	body	640	valid
611.0ms	4330×	body	80	valid
270.0ms	619×	body	320	valid
202.0ms	293×	body	160	valid