Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	316×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	32	7
3	44	7
4	48	7
done	48	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

30.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify1.1s

Counts

27 → 27

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	51	265
1	148	252
2	456	218
3	1874	218
done	5000	218

prune47.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

28.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify2.3s

Counts

25 → 25

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	48	257
1	126	248
2	475	214
3	2427	214
done	5000	214

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ d3 (+ 3.0 d2)))
0.4b	(cbrt (+ d3 (+ 3.0 d2)))
0.4b	(cbrt (+ d3 (+ 3.0 d2)))
0.4b	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
59.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (+ d3 (+ 3.0 d2)))
100.0ms	(cbrt (+ d3 (+ 3.0 d2)))
100.0ms	(cbrt (+ d3 (+ 3.0 d2)))
96.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

simplify1.0s

Counts

117 → 117

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	136	1979
1	312	1822
2	781	1706
3	2048	1492
done	5000	1491

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt (+ d3 (+ 3.0 d2))) d1)
0.3b	(* (sqrt (+ d3 (+ 3.0 d2))) (* (sqrt (+ d3 (+ 3.0 d2))) d1))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`associate-l`
14×	`sqrt-div`
11×	`add-sqr-sqrt` `sqrt-prod`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3-+` `flip-+`
6×	`distribute-lft-out`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

32.0ms	(* (sqrt (+ d3 (+ 3.0 d2))) d1)
57.0ms	(* (sqrt (+ d3 (+ 3.0 d2))) (* (sqrt (+ d3 (+ 3.0 d2))) d1))

series120.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* (sqrt (+ d3 (+ 3.0 d2))) d1)
26.0ms	(* (sqrt (+ d3 (+ 3.0 d2))) (* (sqrt (+ d3 (+ 3.0 d2))) d1))

simplify1.9s

Counts

63 → 63

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	112	1136
1	297	878
2	831	768
3	2988	756
done	5000	754

prune114.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample496.0ms

Algorithm

intervals

Results

246.0ms	9550×	body	80	valid
19.0ms	208×	body	640	valid
11.0ms	94×	body	1280	valid
10.0ms	151×	body	320	valid
7.0ms	99×	body	160	valid