Details

sample59.0ms

Algorithm

intervals

Results

25.0ms	58×	body	1280	valid
13.0ms	50×	body	640	valid
7.0ms	121×	body	80	valid
2.0ms	14×	body	320	valid
2.0ms	13×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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 (sin y) (* z (cos y)))
4.0ms	(* z (cos y))

series132.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(fma x (sin y) (* z (cos y)))
45.0ms	(* z (cos y))

simplify1.9s

Counts

36 → 36

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	50	271
1	84	266
2	165	233
3	280	233
4	640	233
5	2003	233
done	5000	233

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series918.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
224.0ms	(cbrt (fma x (sin y) (* z (cos y))))
220.0ms	(cbrt (fma x (sin y) (* z (cos y))))
224.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	102	1745
1	214	1621
2	587	1483
3	1817	1284
done	5000	1282

prune357.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:

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

series896.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (fma x (sin y) (* z (cos y))))
224.0ms	(cbrt (fma x (sin y) (* z (cos y))))
225.0ms	(cbrt (fma x (sin y) (* z (cos y))))
224.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 4 (586.0ms)

Iter	Nodes	Cost
0	51	924
1	103	900
2	243	824
3	678	800
4	2392	776
done	5000	776

prune324.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (sin y) (* z (cos y))))
0.5b	(cbrt (fma x (sin y) (* z (cos y))))
0.5b	(cbrt (fma x (sin y) (* z (cos y))))
1.0b	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
3.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

series973.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (fma x (sin y) (* z (cos y))))
228.0ms	(cbrt (fma x (sin y) (* z (cos y))))
226.0ms	(cbrt (fma x (sin y) (* z (cos y))))
294.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: 3 (285.0ms)

Iter	Nodes	Cost
0	114	1243
1	247	1196
2	602	1088
3	1733	1057
done	5001	1057

prune366.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes229.0ms

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	8
1	8	8
done	8	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

645.0ms	1495×	body	1280	valid
359.0ms	1301×	body	640	valid
257.0ms	4266×	body	80	valid
110.0ms	615×	body	320	valid
41.0ms	323×	body	160	valid