Details

sample94.0ms

Algorithm

intervals

Results

31.0ms	48×	body	1280	valid
18.0ms	46×	body	640	valid
11.0ms	128×	body	80	valid
7.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

14.0ms	(* z (cos y))
16.0ms	(* x (sin y))

series138.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* z (cos y))
65.0ms	(* x (sin y))

simplify2.7s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
4	4406
3	1472
2	377
1	126
0	61

prune291.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite18.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series815.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
164.0ms	(cbrt (cos y))
191.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune708.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

8.0ms	(* x (sin y))
44.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
14.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (sin y))
53.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
26.0ms	(* (cos y) (cos y))
210.0ms	(cbrt (cos y))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2181
1	349
0	134

prune720.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l` `cos-mult`
5×	`associate-*l/`
4×	`cbrt-prod` `add-log-exp`
3×	`cbrt-div` `pow-prod-down`
2×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow3` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`frac-times` `associate-*r/` `rem-cbrt-cube`

Counts

4 → 78

Calls

4 calls:

9.0ms	(* (cos y) (cos y))
12.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
159.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cos y) (cos y))
36.0ms	(* (cos y) (cos y))
176.0ms	(cbrt (cos y))
23.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	1360
1	193
0	81

prune751.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes391.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	1519×	body	1280	valid
700.0ms	1232×	body	640	valid
666.0ms	4297×	body	80	valid
251.0ms	620×	body	320	valid
75.0ms	332×	body	160	valid