Details

sample139.0ms

Algorithm

intervals

Results

60.0ms	39×	body	1280	valid
30.0ms	41×	body	640	valid
24.0ms	152×	body	80	valid
9.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

9.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series487.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (* x (cos y)) (* z (sin y)))
52.0ms	(* x (cos y))
355.0ms	(* z (sin y))

simplify1.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	1546
2	494
1	192
0	83

prune288.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite23.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

18.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series587.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
172.0ms	(cbrt (sin y))
128.0ms	(cbrt (sin y))
145.0ms	(cbrt (sin y))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	1407
2	456
1	176
0	77

prune516.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

39.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
7.0ms	(cbrt (* x (cos y)))
5.0ms	(cbrt (* x (cos y)))
4.0ms	(cbrt (* x (cos y)))

series705.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
170.0ms	(cbrt (* x (cos y)))
160.0ms	(cbrt (* x (cos y)))
152.0ms	(cbrt (* x (cos y)))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1526
2	546
1	201
0	83

prune547.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

4.0ms	(cbrt (* x (cos y)))
7.0ms	(cbrt (* x (cos y)))
7.0ms	(cbrt (* x (cos y)))
8.0ms	(cbrt (* x (cos y)))

series744.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (* x (cos y)))
215.0ms	(cbrt (* x (cos y)))
177.0ms	(cbrt (* x (cos y)))
158.0ms	(cbrt (* x (cos y)))

simplify1.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5004
4	2067
3	534
2	157
1	71
0	38

prune393.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes353.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1393×	body	1280	valid
1.0s	1245×	body	640	valid
805.0ms	4412×	body	80	valid
398.0ms	635×	body	320	valid
102.0ms	315×	body	160	valid