Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	46×	body	1280	valid
13.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
2.0ms	14×	body	320	valid
2.0ms	15×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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)))
3.0ms	(* z (cos y))

series110.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma x (sin y) (* z (cos y)))
35.0ms	(* z (cos y))

simplify3.1s

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	50	271
1	86	266
2	248	233
3	549	233
4	1163	233
5	3596	233
done	5001	233

prune101.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series711.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt z) (cbrt z))
171.0ms	(cbrt z)
175.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (287.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune270.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

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

rewrite12.0ms

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:

5.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
0.0ms	(cbrt (fma x (sin y) (* z (cos y))))
0.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series807.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
197.0ms	(cbrt (fma x (sin y) (* z (cos y))))
196.0ms	(cbrt (fma x (sin y) (* z (cos y))))
194.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (456.0ms)

Iter	Nodes	Cost
0	102	1745
1	217	1621
2	850	1483
3	4027	1282
done	5000	1282

prune312.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (sin y) (* z (cos y))))
0.6b	(cbrt (fma x (sin y) (* z (cos y))))
0.6b	(cbrt (fma x (sin y) (* z (cos y))))
0.9b	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

rewrite5.0ms

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

series862.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma x (sin y) (* z (cos y))))
199.0ms	(cbrt (fma x (sin y) (* z (cos y))))
203.0ms	(cbrt (fma x (sin y) (* z (cos y))))
259.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

simplify2.0s

Counts

77 → 77

Iterations

Useful iterations: 3 (571.0ms)

Iter	Nodes	Cost
0	114	1243
1	249	1196
2	757	1085
3	3335	1066
done	5001	1066

prune306.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.1b

regimes148.0ms

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

651.0ms	1514×	body	1280	valid
330.0ms	1281×	body	640	valid
233.0ms	4292×	body	80	valid
104.0ms	605×	body	320	valid
37.0ms	308×	body	160	valid