Details

sample38.0ms

Algorithm

intervals

Results

21.0ms

331×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* (- y x) z))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

44.0ms	(* (- y x) z)
7.0ms	(+ x (* (- y x) z))

series107.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (- y x) z)
54.0ms	(+ x (* (- y x) z))

simplify1.6s

Counts

39 → 39

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	504	303
3	1870	303
done	5000	303

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)

rewrite17.0ms

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:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt z) (cbrt z))
305.0ms	(cbrt z)
326.0ms	(cbrt z)
303.0ms	(cbrt z)

simplify5.0s

Counts

85 → 85

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune324.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.3b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
2.2b	(sqrt (* (- y x) z))
2.2b	(sqrt (* (- y x) z))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

25.0ms	(* (- y x) z)
103.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
15.0ms	(sqrt (* (- y x) z))
16.0ms	(sqrt (* (- y x) z))

series798.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- y x) z)
96.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
353.0ms	(sqrt (* (- y x) z))
307.0ms	(sqrt (* (- y x) z))

simplify2.4s

Counts

117 → 117

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	126	1349
1	252	1007
2	771	917
3	2738	873
done	5001	867

prune326.0ms

Pruning

3 alts after pruning (0 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample778.0ms

Algorithm

intervals

Results

419.0ms

10079×

body

valid