Details

sample89.0ms

Algorithm

intervals

Results

22.0ms	176×	body	80	valid
20.0ms	24×	body	1280	valid
15.0ms	29×	body	640	valid
7.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	28	8
done	28	8

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (sin y))
115.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.4s

Counts

33 → 33

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	46	251
1	99	246
2	232	220
3	854	220
done	5000	220

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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

20.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

400.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
373.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
372.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
381.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	137	2163
1	377	2019
2	1700	1836
done	5001	1676

prune798.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
3.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

336.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
339.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
334.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
332.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify954.0ms

Counts

73 → 73

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	115	1587
1	306	1550
2	1245	1421
done	5001	1395

prune743.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`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 → 55

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))))
3.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

371.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
355.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
372.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
338.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify928.0ms

Counts

67 → 67

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	115	1417
1	306	1378
2	1245	1255
done	5001	1217

prune818.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

0% (0.0b 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

sample3.8s

Algorithm

intervals

Results

1.6s	1025×	body	1280	valid
989.0ms	5592×	body	80	valid
448.0ms	788×	body	640	valid
163.0ms	384×	body	320	valid
56.0ms	211×	body	160	valid