Details

sample95.0ms

Algorithm

intervals

Results

26.0ms	29×	body	1280	valid
24.0ms	182×	body	80	valid
15.0ms	26×	body	640	valid
4.0ms	10×	body	320	valid
2.0ms	9×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

16.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ x (sin y))
80.0ms	(fma (cos y) z (+ x (sin y)))

simplify2.0s

Counts

33 → 33

Iterations

Useful iterations: 2 (69.0ms)

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

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.6b	(cbrt (+ x (sin y)))
0.6b	(cbrt (+ x (sin y)))
0.6b	(cbrt (+ x (sin y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

68.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
9.0ms	(cbrt (+ x (sin y)))
6.0ms	(cbrt (+ x (sin y)))
5.0ms	(cbrt (+ x (sin y)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
69.0ms	(cbrt (+ x (sin y)))
95.0ms	(cbrt (+ x (sin y)))
85.0ms	(cbrt (+ x (sin y)))

simplify2.0s

Counts

115 → 115

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	153	1794
1	355	1632
2	932	1557
3	2644	1408
done	5000	1357

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

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))))

rewrite26.0ms

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:

18.0ms	(* (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))))

series1.0s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
209.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
262.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
284.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify901.0ms

Counts

93 → 93

Iterations

Useful iterations: done (897.0ms)

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

prune474.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.9b	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (+ 3 1))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
9.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (+ 3 1))

series1.0s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
293.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
225.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
253.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (+ 3 1))

simplify810.0ms

Counts

88 → 88

Iterations

Useful iterations: done (806.0ms)

Iter	Nodes	Cost
0	154	2035
1	413	1781
2	1218	1635
done	5000	1624

prune548.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample2.6s

Algorithm

intervals

Results

963.0ms	986×	body	1280	valid
640.0ms	5609×	body	80	valid
420.0ms	805×	body	640	valid
149.0ms	393×	body	320	valid
38.0ms	207×	body	160	valid