Details

sample89.0ms

Algorithm

intervals

Results

23.0ms	26×	body	1280	valid
22.0ms	187×	body	80	valid
15.0ms	26×	body	640	valid
7.0ms	16×	body	320	valid
1.0ms	1×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	37	9
4	43	9
5	52	9
6	111	9
7	281	9
8	766	9
9	2120	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

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:

62.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (+ x (cos y)) (* z (sin y)))
57.0ms	(* z (sin y))

simplify2.0s

Counts

38 → 38

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	69	365
1	163	346
2	551	320
3	2904	320
done	5001	320

prune189.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite31.0ms

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:

25.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* (cbrt z) (cbrt z))
305.0ms	(cbrt z)
227.0ms	(cbrt z)
214.0ms	(cbrt z)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune342.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt z)
273.0ms	(cbrt z)
265.0ms	(cbrt z)
281.0ms	(cbrt z)

simplify2.4s

Counts

56 → 56

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	24	260
1	45	244
2	116	220
3	342	208
4	935	208
5	3497	208
done	5001	208

prune257.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ x (cos y)) (* z (sin y))))
0.1b	(* z (sin y))
0.1b	(* z (sin y))
0.2b	(* (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`pow1`
21×	`sqrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-div`
12×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`flip3--` `flip--`
6×	`unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 108

Calls

4 calls:

33.0ms	(sqrt (- (+ x (cos y)) (* z (sin y))))
10.0ms	(* z (sin y))
10.0ms	(* z (sin y))
209.0ms	(* (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(sqrt (- (+ x (cos y)) (* z (sin y))))
41.0ms	(* z (sin y))
57.0ms	(* z (sin y))
62.0ms	(* (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))))

simplify934.0ms

Counts

120 → 120

Iterations

Useful iterations: done (930.0ms)

Iter	Nodes	Cost
0	132	2257
1	309	1591
2	1380	1461
done	5001	1422

prune434.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

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

sample3.2s

Algorithm

intervals

Results

1.3s	988×	body	1280	valid
651.0ms	5590×	body	80	valid
529.0ms	835×	body	640	valid
181.0ms	376×	body	320	valid
106.0ms	211×	body	160	valid