Details

sample92.0ms

Algorithm

intervals

Results

28.0ms	41×	body	1280	valid
18.0ms	39×	body	640	valid
15.0ms	140×	body	80	valid
8.0ms	26×	body	320	valid
2.0ms	10×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	243
1	12	218
2	15	218
done	15	218

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

0.0ms	(fma x (cos y) (* z (sin y)))
8.0ms	(* z (sin y))

series221.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(fma x (cos y) (* z (sin y)))
82.0ms	(* z (sin y))

simplify5.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (302.0ms)

Iter	Nodes	Cost
0	48	6837
1	88	6676
2	202	6676
3	576	6596
4	1905	6596
done	5001	6596

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

397.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
291.0ms	(cbrt (fma x (cos y) (* z (sin y))))
316.0ms	(cbrt (fma x (cos y) (* z (sin y))))
335.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	120	41821
1	291	38993
2	718	38524
3	1894	37548
done	5003	37523

prune739.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

339.0ms	(cbrt (fma x (cos y) (* z (sin y))))
287.0ms	(cbrt (fma x (cos y) (* z (sin y))))
305.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
688.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

simplify3.4s

Counts

70 → 70

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	102	35820
1	230	33854
2	526	33270
3	1407	32530
4	3395	32530
done	5002	31676

prune642.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt (fma x (cos y) (* z (sin y))))
308.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
278.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
343.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

simplify3.4s

Counts

73 → 73

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	102	39272
1	230	37145
2	526	36561
3	1407	35821
4	3395	35821
done	5002	35234

prune585.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.1b 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	218
1	8	218
done	8	218

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	1460×	body	1280	valid
884.0ms	4354×	body	80	valid
735.0ms	1209×	body	640	valid
315.0ms	652×	body	320	valid
71.0ms	325×	body	160	valid