Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	191×	body	80	valid
9.0ms	24×	body	1280	valid
6.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify124.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	36	9
4	42	9
5	51	9
6	61	9
7	71	9
8	85	9
9	101	9
10	114	9
11	117	9
done	117	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

40.0ms	(- (+ x (cos y)) (* z (sin y)))
6.0ms	(+ x (cos y))
9.0ms	(* z (sin y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (+ x (cos y)) (* z (sin y)))
30.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify896.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	84	477
1	199	446
2	520	420
3	1623	420
done	5001	420

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(* (cbrt (sin y)) (cbrt (sin 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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

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

series398.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
112.0ms	(* (cbrt (sin y)) (cbrt (sin y)))

simplify1.8s

Counts

85 → 85

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	408	534
3	1250	512
done	5000	507

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin y) 2)
0.3b	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
17.1b	(pow (pow (sin y) 2) 1/3)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

6.0ms	(pow (sin y) 2)
41.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
6.0ms	(pow (pow (sin y) 2) 1/3)

series270.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (sin y) 2)
37.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
114.0ms	(pow (pow (sin y) 2) 1/3)

simplify2.7s

Counts

91 → 91

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	143	924
1	347	752
2	1009	668
3	4287	603
done	5001	595

prune227.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(* (sqrt (cbrt (pow (sin y) 2))) (sqrt (cbrt (pow (sin y) 2))))
16.1b	(cbrt (pow (sin y) 2))
16.1b	(cbrt (pow (sin y) 2))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

106×	`sqrt-prod`
99×	`cbrt-prod`
77×	`add-sqr-sqrt`
36×	`unswap-sqr`
30×	`unpow-prod-down`
25×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
18×	`unpow2` `sqr-pow`
16×	`swap-sqr`
14×	`sqrt-pow1` `associate-r` `associate-l`
9×	`pow1/3`
8×	`pow1/2`
6×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 151

Calls

4 calls:

1.0ms	(cbrt (sin y))
35.0ms	(* (sqrt (cbrt (pow (sin y) 2))) (sqrt (cbrt (pow (sin y) 2))))
3.0ms	(cbrt (pow (sin y) 2))
6.0ms	(cbrt (pow (sin y) 2))

series429.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
109.0ms	(* (sqrt (cbrt (pow (sin y) 2))) (sqrt (cbrt (pow (sin y) 2))))
109.0ms	(cbrt (pow (sin y) 2))
114.0ms	(cbrt (pow (sin y) 2))

simplify1.0s

Counts

163 → 163

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	165	2697
1	270	1976
2	610	1568
3	1580	1531
done	5000	1509

prune379.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes320.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

406.0ms	974×	body	1280	valid
297.0ms	5600×	body	80	valid
202.0ms	808×	body	640	valid
69.0ms	410×	body	320	valid
24.0ms	208×	body	160	valid