Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	319×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify69.0ms

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

41.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
10.0ms	(+ (* d1 3.0) (* d1 d2))

series132.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
65.0ms	(+ (* d1 3.0) (* d1 d2))

simplify2.0s

Counts: 32 → 32

prune113.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

15.0ms

(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify1.5s

Counts: 17 → 17

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
0.6b	(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b	(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b	(cbrt (+ (* d1 3.0) (* d1 d2)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

58.0ms	(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
7.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
9.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
10.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
172.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
181.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
191.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))

simplify812.0ms

Counts: 105 → 105

prune536.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
0.6b	(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b	(cbrt (+ (* d1 3.0) (* d1 d2)))
0.6b	(cbrt d1)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`flip3-+` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

86.0ms	(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
12.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
10.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
2.0ms	(cbrt d1)

series802.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (+ (* d1 3.0) (* d1 d2))) (cbrt (+ (* d1 3.0) (* d1 d2))))
169.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
196.0ms	(cbrt (+ (* d1 3.0) (* d1 d2)))
230.0ms	(cbrt d1)

simplify900.0ms

Counts: 102 → 102

prune507.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

6.1% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify65.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

676.0ms	9506×	body	80	valid
43.0ms	235×	body	640	valid
25.0ms	167×	body	320	valid
24.0ms	103×	body	1280	valid
8.0ms	71×	body	160	valid