Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	305×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify22.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

12.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
3.0ms	(+ (* d1 3.0) (* d1 d2))

series80.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
42.0ms	(+ (* d1 3.0) (* d1 d2))

simplify1.5s

Counts

32 → 32

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	56	445
1	186	343
2	691	289
3	2679	285
done	5001	285

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

28.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify1.2s

Counts

27 → 27

Iterations

Useful iterations: 2 (44.0ms)

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

prune41.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)))
9.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
57.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ d3 (+ 3.0 d2)))
96.0ms	(cbrt (+ d3 (+ 3.0 d2)))
96.0ms	(cbrt (+ d3 (+ 3.0 d2)))
94.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

simplify919.0ms

Counts

117 → 117

Iterations

Useful iterations: done (915.0ms)

Iter	Nodes	Cost
0	136	1979
1	312	1798
2	792	1706
3	2078	1492
done	5001	1491

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))) (pow (cbrt (+ d3 (+ 3.0 d2))) 1))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
31×	`cbrt-prod`
26×	`add-sqr-sqrt`
15×	`distribute-lft-out`
12×	`add-cube-cbrt` `unpow-prod-down` `associate-r`
9×	`add-exp-log`
8×	`cbrt-div` `associate-l` `unswap-sqr`
7×	`pow1`
5×	`add-cbrt-cube`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `prod-exp` `sqr-pow`
2×	`associate-*l/`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
90.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (pow (cbrt (+ d3 (+ 3.0 d2))) 1))

series388.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (+ d3 (+ 3.0 d2)))
97.0ms	(cbrt (+ d3 (+ 3.0 d2)))
100.0ms	(cbrt (+ d3 (+ 3.0 d2)))
93.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (pow (cbrt (+ d3 (+ 3.0 d2))) 1))

simplify1.6s

Counts

102 → 102

Iterations

Useful iterations: 3 (716.0ms)

Iter	Nodes	Cost
0	148	1739
1	357	1436
2	970	1286
3	3533	1193
done	5001	1193

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes58.0ms

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

sample525.0ms

Algorithm

intervals

Results

256.0ms	9569×	body	80	valid
24.0ms	228×	body	640	valid
12.0ms	158×	body	320	valid
10.0ms	81×	body	1280	valid
4.0ms	77×	body	160	valid