Details

sample69.0ms

Algorithm

intervals

Results

20.0ms	32×	body	1280	valid
16.0ms	178×	body	80	valid
10.0ms	23×	body	640	valid
5.0ms	16×	body	320	valid
1.0ms	7×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.1b	(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)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (sin y))
60.0ms	(fma (cos y) z (+ x (sin y)))

simplify969.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (38.0ms)

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

prune136.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))))

rewrite28.0ms

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:

21.0ms	(* (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))))

series1.2s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
273.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
280.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
290.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify895.0ms

Counts

93 → 93

Iterations

Useful iterations: done (892.0ms)

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

prune585.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

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

rewrite8.0ms

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:

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

319.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
270.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
295.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
272.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify506.0ms

Counts

64 → 64

Iterations

Useful iterations: done (503.0ms)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	718	1172
done	5000	1128

prune357.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`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 → 67

Calls

4 calls:

1.0ms	(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))))
15.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (+ 3 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
264.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
234.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
337.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (+ 3 1))

simplify902.0ms

Counts

79 → 79

Iterations

Useful iterations: done (897.0ms)

Iter	Nodes	Cost
0	153	1780
1	467	1630
2	1947	1427
done	5000	1389

prune531.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	5636×	body	80	valid
660.0ms	955×	body	1280	valid
407.0ms	790×	body	640	valid
113.0ms	396×	body	320	valid
44.0ms	223×	body	160	valid