Details

sample70.0ms

Algorithm

intervals

Results

19.0ms	39×	body	1280	valid
19.0ms	139×	body	80	valid
15.0ms	48×	body	640	valid
5.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune3.0ms

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))

rewrite41.0ms

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:

22.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series190.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* x (cos y)) (* z (sin y)))
47.0ms	(* x (cos y))
49.0ms	(* z (sin y))

simplify1.9s

Counts

59 → 59

Iterations

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

prune240.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite21.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series574.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
139.0ms	(cbrt (cos y))
123.0ms	(cbrt (cos y))
128.0ms	(cbrt (cos y))

simplify3.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5012
4	4963
3	1192
2	354
1	145
0	66

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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×	`insert-posit16` `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 → 84

Calls

4 calls:

14.0ms	(* z (sin y))
88.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series278.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* z (sin y))
75.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
24.0ms	(* (cos y) (cos y))
110.0ms	(cbrt (cos y))

simplify2.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	3282
2	1026
1	346
0	138

prune467.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))
0.3b	(cbrt (cos y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

52.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
11.0ms	(* (cos y) (cos y))
5.0ms	(cbrt (* (cos y) (cos y)))
1.0ms	(cbrt (cos y))

series547.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
31.0ms	(* (cos y) (cos y))
275.0ms	(cbrt (* (cos y) (cos y)))
168.0ms	(cbrt (cos y))

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	2825
2	906
1	292
0	114

prune557.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.3s	1421×	body	1280	valid
1.2s	1186×	body	640	valid
1.1s	4456×	body	80	valid
273.0ms	596×	body	320	valid
161.0ms	341×	body	160	valid