Details

sample56.0ms

Algorithm

intervals

Results

14.0ms	30×	body	1280	valid
11.0ms	169×	body	80	valid
10.0ms	33×	body	640	valid
5.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

13.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (sin y))
64.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.9s

Counts

33 → 33

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	46	251
1	99	246
2	216	220
3	569	220
4	2262	220
done	5000	220

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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:

12.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
328.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
311.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
243.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify989.0ms

Counts

93 → 93

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	137	2163
1	348	2019
2	1137	1833
done	5000	1658

prune517.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

582.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
242.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
297.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
238.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	551	1172
3	2597	1128
done	5001	1056

prune425.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
331.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
250.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
299.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	551	1172
3	2597	1128
done	5001	1056

prune463.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	977×	body	1280	valid
611.0ms	5615×	body	80	valid
308.0ms	808×	body	640	valid
156.0ms	404×	body	320	valid
36.0ms	196×	body	160	valid