Details

sample99.0ms

Algorithm

intervals

Results

34.0ms	40×	body	1280	valid
21.0ms	37×	body	640	valid
19.0ms	155×	body	80	valid
7.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

92.0ms	(+ (+ x (sin y)) (* z (cos y)))
16.0ms	(* z (cos y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (+ x (sin y)) (* z (cos y)))
55.0ms	(* z (cos y))

simplify1.8s

Counts

45 → 45

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	66	379
1	159	359
2	505	317
3	2062	317
done	5000	317

prune208.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite20.0ms

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:

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

series723.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
165.0ms	(cbrt (cos y))
156.0ms	(cbrt (cos y))
163.0ms	(cbrt (cos y))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune352.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

33.0ms	(* z (pow (pow (cos y) 2) 1/3))
56.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series362.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* z (pow (pow (cos y) 2) 1/3))
56.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
136.0ms	(cbrt (cos y))

simplify4.0s

Counts

110 → 110

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	874	842
3	3706	778
done	5000	769

prune388.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 71

Calls

4 calls:

5.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series336.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (cos y) 2)
18.0ms	(pow (cos y) 2)
172.0ms	(cbrt (pow (cos y) 2))
128.0ms	(cbrt (cos y))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	80	589
1	149	520
2	318	445
3	872	435
done	5001	429

prune352.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	943×	body	1280	valid
754.0ms	5600×	body	80	valid
447.0ms	837×	body	640	valid
120.0ms	413×	body	320	valid
41.0ms	207×	body	160	valid