Details

sample89.0ms

Algorithm

intervals

Results

31.0ms	52×	body	1280	valid
23.0ms	46×	body	640	valid
10.0ms	127×	body	80	valid
5.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(* x (cos y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

24.0ms	(- (* x (cos y)) (* z (sin y)))
38.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series211.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* x (cos y)) (* z (sin y)))
70.0ms	(* z (sin y))
67.0ms	(* x (cos y))

simplify2.6s

Counts

65 → 65

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	92	527
1	203	495
2	636	460
3	3467	459
done	5001	453

prune241.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite39.0ms

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:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series693.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
130.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))
178.0ms	(cbrt (cos y))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	637	551
done	5001	537

prune466.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

39.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
14.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
5.0ms	(cbrt (pow (cos y) 2))

series479.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
29.0ms	(pow (cos y) 2)
146.0ms	(cbrt (cos y))
228.0ms	(cbrt (pow (cos y) 2))

simplify1.1s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	112	763
1	282	706
2	1347	610
done	5001	595

prune415.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`pow1` `unpow-prod-down` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 71

Calls

4 calls:

8.0ms	(log (exp (cbrt (cos y))))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))
5.0ms	(cbrt (pow (cos y) 2))

series608.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(log (exp (cbrt (cos y))))
39.0ms	(pow (cos y) 2)
160.0ms	(cbrt (cos y))
235.0ms	(cbrt (pow (cos y) 2))

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	109	612
1	224	516
2	747	453
3	3285	441
done	5000	438

prune466.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.5s	1546×	body	1280	valid
1.0s	4300×	body	80	valid
560.0ms	1214×	body	640	valid
323.0ms	623×	body	320	valid
68.0ms	317×	body	160	valid