Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	312×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	1280	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3
done	60	3

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))

rewrite38.0ms

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:

30.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
7.0ms	(+ (* d1 3.0) (* d1 d2))

series78.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
39.0ms	(+ (* d1 3.0) (* d1 d2))

simplify107.0ms

Counts

32 → 32

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151
done	5001	151

prune63.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

19.0ms	(* d1 (+ 3.0 d2))
12.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series74.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* d1 (+ 3.0 d2))
42.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify36.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	216	183
1	975	162
2	5001	160
done	5001	160

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
6.9b	(* d1 (- (* 3.0 3.0) (* d2 d2)))
8.9b	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

45.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
28.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
27.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

series237.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
58.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
89.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

simplify59.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	392	576
1	1878	501
2	5002	467
done	5002	467

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

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:

54.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify93.0ms

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	117
1	739	103
2	4443	103
3	5002	103
done	5002	103

prune37.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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	12	4
1	12	4
done	12	4

end0.0ms

sample568.0ms

Algorithm

intervals

Results

236.0ms	9660×	body	80	valid
16.0ms	192×	body	640	valid
11.0ms	168×	body	320	valid
10.0ms	92×	body	1280	valid
4.0ms	86×	body	160	valid