Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	319×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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: 0.0b

localize7.0ms

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:

40.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
40.0ms	(+ (* d1 3.0) (* d1 d2))

simplify1.2s

Counts

32 → 32

Iterations

Useful iterations: 3 (269.0ms)

Iter	Nodes	Cost
0	56	445
1	186	343
2	691	289
3	2689	285
done	5000	285

prune72.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:

39.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify1.4s

Counts

27 → 27

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	51	265
1	148	252
2	552	218
3	2410	218
done	5000	218

prune55.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

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:

43.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify1.5s

Counts

25 → 25

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	48	257
1	126	248
2	472	214
3	2438	214
done	5000	214

prune42.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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:

9.0ms	(cbrt (+ (+ 3.0 d2) d3))
9.0ms	(cbrt (+ (+ 3.0 d2) d3))
9.0ms	(cbrt (+ (+ 3.0 d2) d3))
77.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ (+ 3.0 d2) d3))
98.0ms	(cbrt (+ (+ 3.0 d2) d3))
98.0ms	(cbrt (+ (+ 3.0 d2) d3))
94.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify1.6s

Counts

117 → 117

Iterations

Useful iterations: 3 (544.0ms)

Iter	Nodes	Cost
0	136	1979
1	307	1812
2	873	1714
3	3265	1492
done	5000	1492

prune255.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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	9	11
1	14	11
done	14	11

end0.0ms

sample492.0ms

Algorithm

intervals

Results

235.0ms	9608×	body	80	valid
25.0ms	216×	body	640	valid
11.0ms	101×	body	1280	valid
10.0ms	152×	body	320	valid
4.0ms	86×	body	160	valid