Details

sample20.0ms

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

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	43	7
3	65	7
4	69	7
5	70	7
done	70	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)))

rewrite30.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

29.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify1.2s

Counts

29 → 29

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	53	281
1	153	265
2	490	234
3	2014	234
done	5000	234

prune58.0ms

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)

rewrite29.0ms

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×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

28.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify2.0s

Counts

27 → 27

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	50	273
1	131	261
2	499	230
3	2568	230
done	5000	230

prune57.0ms

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))))

rewrite87.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 113

Calls

4 calls:

9.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
8.0ms	(cbrt (+ d3 (+ 3.0 d2)))
60.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ d3 (+ 3.0 d2)))
101.0ms	(cbrt (+ d3 (+ 3.0 d2)))
101.0ms	(cbrt (+ d3 (+ 3.0 d2)))
98.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

simplify1.0s

Counts

125 → 125

Iterations

Useful iterations: 3 (387.0ms)

Iter	Nodes	Cost
0	140	2049
1	326	1871
2	849	1757
3	2318	1538
done	5001	1538

prune310.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite95.0ms

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×	`expm1-log1p-u` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 61

Calls

2 calls:

32.0ms	(* (sqrt (+ d3 (+ 3.0 d2))) d1)
61.0ms	(* (sqrt (+ d3 (+ 3.0 d2))) (* (sqrt (+ d3 (+ 3.0 d2))) d1))

series121.0ms

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))

simplify1.7s

Counts

67 → 67

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	1186
1	310	905
2	877	793
3	3165	780
done	5000	778

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes70.0ms

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

sample527.0ms

Algorithm

intervals

Results

260.0ms	9550×	body	80	valid
20.0ms	208×	body	640	valid
11.0ms	94×	body	1280	valid
11.0ms	151×	body	320	valid
5.0ms	99×	body	160	valid