Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
9.0ms	167×	body	80	valid
8.0ms	34×	body	640	valid
2.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5
done	270	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

42.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (+ x (cos y)) (* z (sin y)))
40.0ms	(* z (sin y))

simplify71.0ms

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	156	201
1	579	185
2	2660	185
3	5001	185
done	5001	185

prune85.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(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:

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

series418.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify98.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363
done	5002	363

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin y) 2)
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
12.8b	(cbrt (pow (sin y) 2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

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

series282.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (sin y) 2)
38.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
103.0ms	(cbrt (sin y))
116.0ms	(cbrt (pow (sin y) 2))

simplify41.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	284	430
1	1190	373
2	5001	354
done	5001	354

prune220.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin y) 2)
0.3b	(* (* z (* 1 (pow (pow (sin y) 2) 1/3))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
13.7b	(pow (pow (sin y) 2) 1/3)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.0ms	(pow (sin y) 2)
102.0ms	(* (* z (* 1 (pow (pow (sin y) 2) 1/3))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
6.0ms	(pow (pow (sin y) 2) 1/3)

series281.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (sin y) 2)
46.0ms	(* (* z (* 1 (pow (pow (sin y) 2) 1/3))) (cbrt (sin y)))
100.0ms	(cbrt (sin y))
115.0ms	(pow (pow (sin y) 2) 1/3)

simplify55.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	448	572
1	1797	492
2	5001	420
done	5001	420

prune248.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

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	10	5
1	10	5
done	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

374.0ms	943×	body	1280	valid
285.0ms	5609×	body	80	valid
193.0ms	822×	body	640	valid
85.0ms	425×	body	320	valid
29.0ms	201×	body	160	valid