Details

sample80.0ms

Algorithm

intervals

Results

27.0ms	35×	body	1280	valid
17.0ms	180×	body	80	valid
13.0ms	25×	body	640	valid
3.0ms	7×	body	320	valid
2.0ms	9×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

8.0ms	(+ x (sin y))
51.0ms	(+ (+ x (sin y)) (* z (cos y)))
46.0ms	(* z (cos y))

series188.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (sin y))
79.0ms	(+ (+ x (sin y)) (* z (cos y)))
60.0ms	(* z (cos y))

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	84	495
1	208	462
2	608	420
3	2223	420
done	5001	420

prune250.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

9.0ms	(+ x (sin y))
56.0ms	(+ (+ x (sin y)) (* z (cos y)))
25.0ms	(* z (cos y))

series153.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (sin y))
49.0ms	(+ (+ x (sin y)) (* z (cos y)))
61.0ms	(* z (cos y))

simplify1.8s

Counts

65 → 65

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	84	495
1	208	462
2	608	420
3	2223	420
done	5001	420

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

21.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
5.0ms	(cbrt (* z (cos y)))
5.0ms	(cbrt (* z (cos y)))
8.0ms	(cbrt (* z (cos y)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
196.0ms	(cbrt (* z (cos y)))
187.0ms	(cbrt (* z (cos y)))
207.0ms	(cbrt (* z (cos y)))

simplify3.5s

Counts

78 → 78

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	85	804
1	177	722
2	466	642
3	1348	569
4	4439	527
done	5000	524

prune323.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1/3`
9×	`pow1` `add-exp-log`
7×	`cbrt-prod` `pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt z)
41.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
5.0ms	(cbrt (* z (cos y)))
5.0ms	(cbrt (* z (cos y)))

series862.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt z)
232.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
175.0ms	(cbrt (* z (cos y)))
175.0ms	(cbrt (* z (cos y)))

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	103	677
1	223	646
2	610	585
3	2416	562
done	5000	529

prune373.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	16	9
done	16	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	920×	body	1280	valid
573.0ms	5648×	body	80	valid
550.0ms	829×	body	640	valid
206.0ms	412×	body	320	valid
40.0ms	191×	body	160	valid