Details

sample107.0ms

Algorithm

intervals

Results

38.0ms	48×	body	1280	valid
25.0ms	50×	body	640	valid
14.0ms	127×	body	80	valid
8.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (sin y) (* z (cos y)))
17.0ms	(* z (cos y))

series186.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(fma x (sin y) (* z (cos y)))
49.0ms	(* z (cos y))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	50	271
1	85	266
2	167	237
3	324	233
4	757	233
5	3020	233
done	5000	233

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

15.0ms	(+ (* x (sin y)) (* z (cos y)))
13.0ms	(* z (cos y))
20.0ms	(* x (sin y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* x (sin y)) (* z (cos y)))
57.0ms	(* z (cos y))
42.0ms	(* x (sin y))

simplify3.9s

Counts

63 → 63

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	88	498
1	198	453
2	506	420
3	1314	420
4	3746	420
done	5000	420

prune218.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series882.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
193.0ms	(cbrt (cos y))
260.0ms	(cbrt (cos y))
173.0ms	(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

prune422.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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:

50.0ms	(* z (pow (pow (cos y) 2) 1/3))
82.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series388.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* z (pow (pow (cos y) 2) 1/3))
60.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
144.0ms	(cbrt (cos y))

simplify4.2s

Counts

110 → 110

Iterations

Useful iterations: done (4.2s)

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

prune441.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	17	18
done	17	18

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	1495×	body	1280	valid
1.1s	1228×	body	640	valid
744.0ms	4312×	body	80	valid
234.0ms	654×	body	320	valid
73.0ms	311×	body	160	valid