Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	38×	body	1280	valid
12.0ms	51×	body	640	valid
7.0ms	137×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	7×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

9.0ms	(* z (sin y))
0.0ms	(fma x (cos y) (* z (sin y)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* z (sin y))
70.0ms	(fma x (cos y) (* z (sin y)))

simplify2.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	49	269
1	83	264
2	164	232
3	319	232
4	757	232
5	3023	232
done	5000	232

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series762.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt z) (cbrt z))
185.0ms	(cbrt z)
181.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify3.4s

Counts

93 → 93

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune281.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite21.0ms

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:

14.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series419.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	423	564
3	1308	541
done	5001	533

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))

series869.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
185.0ms	(cbrt z)
251.0ms	(cbrt (cbrt z))
251.0ms	(cbrt (cbrt z))

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	46	374
1	79	356
2	151	328
3	319	316
4	972	316
5	4693	316
done	5000	304

prune256.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes87.0ms

Accuracy

0% (0.0b 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

586.0ms	1470×	body	1280	valid
304.0ms	1231×	body	640	valid
234.0ms	4386×	body	80	valid
111.0ms	636×	body	320	valid
32.0ms	277×	body	160	valid