Details

sample117.0ms

Algorithm

intervals

Results

42.0ms	46×	body	1280	valid
26.0ms	45×	body	640	valid
18.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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)))
16.0ms	(* z (sin y))

series180.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(fma x (cos y) (* z (sin y)))
57.0ms	(* z (sin y))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (356.0ms)

Iter	Nodes	Cost
0	48	6837
1	88	6676
2	261	6636
3	1087	6596
4	4689	6596
done	5000	6596

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:

363.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
339.0ms	(cbrt (fma x (cos y) (* z (sin y))))
286.0ms	(cbrt (fma x (cos y) (* z (sin y))))
314.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	120	41821
1	293	38993
2	1001	38343
done	5001	37506

prune743.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (fma x (cos y) (* z (sin y))))
352.0ms	(cbrt (fma x (cos y) (* z (sin y))))
326.0ms	(cbrt (fma x (cos y) (* z (sin y))))
302.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify3.3s

Counts

64 → 64

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	63	28916
1	137	27272
2	326	26688
3	1039	25948
4	4249	24580
done	5000	24540

prune569.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt (fma x (cos y) (* z (sin y))))
312.0ms	(cbrt (fma x (cos y) (* z (sin y))))
344.0ms	(cbrt (fma x (cos y) (* z (sin y))))
297.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify3.2s

Counts

64 → 64

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	63	28916
1	137	27272
2	326	26688
3	1039	25948
4	4249	24580
done	5000	24540

prune537.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes301.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	218
1	8	218
done	8	218

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.6s	1527×	body	1280	valid
1.3s	1289×	body	640	valid
538.0ms	4233×	body	80	valid
345.0ms	628×	body	320	valid
70.0ms	323×	body	160	valid