Details

sample70.0ms

Algorithm

intervals

Results

26.0ms	52×	body	1280	valid
15.0ms	46×	body	640	valid
9.0ms	127×	body	80	valid
5.0ms	21×	body	320	valid
2.0ms	10×	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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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)))
9.0ms	(* z (sin y))

series467.0ms

Counts

2 → 6

Calls

2 calls:

422.0ms	(fma x (cos y) (* z (sin y)))
44.0ms	(* z (sin y))

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: 3 (270.0ms)

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

prune196.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (sin y) (* x (cos y)))
0.2b	(* x (cos y))

rewrite13.0ms

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)))
12.0ms	(* x (cos y))

series148.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma z (sin y) (* x (cos y)))
48.0ms	(* x (cos y))

simplify3.8s

Counts

36 → 36

Iterations

Useful iterations: 3 (323.0ms)

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

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite25.0ms

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:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series773.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
190.0ms	(cbrt (cos y))
162.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	637	551
done	5001	537

prune335.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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

Counts

4 → 74

Calls

4 calls:

33.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
8.0ms	(cbrt (pow (cos y) 2))

series449.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
143.0ms	(cbrt (cos y))
226.0ms	(cbrt (pow (cos y) 2))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	112	763
1	282	706
2	1347	610
done	5001	595

prune398.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	16	17
done	16	17

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1546×	body	1280	valid
1.1s	1214×	body	640	valid
680.0ms	4300×	body	80	valid
320.0ms	623×	body	320	valid
76.0ms	317×	body	160	valid