Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	304×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	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: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite84.0ms

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:

83.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify89.0ms

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103
done	5002	103

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

32.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
12.0ms	(+ (* d1 3.0) (* d1 d2))

series97.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
47.0ms	(+ (* 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

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.6b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.9b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.7b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

38.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
22.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
77.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
82.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series251.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
38.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
89.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
108.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify82.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842
done	5002	842

prune227.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 d3) (* d1 d2))
0.0b	(+ (* 1.0 (+ (* d1 d3) (* d1 d2))) (* 3.0 d1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

12.0ms	(+ (* d1 d3) (* d1 d2))
17.0ms	(+ (* 1.0 (+ (* d1 d3) (* d1 d2))) (* 3.0 d1))

series93.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* d1 d3) (* d1 d2))
55.0ms	(+ (* 1.0 (+ (* d1 d3) (* d1 d2))) (* 3.0 d1))

simplify151.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	206	220
1	860	194
2	4476	179
3	5001	173
done	5001	173

prune66.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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	10	3
1	10	3
done	10	3

end0.0ms

sample613.0ms

Algorithm

intervals

Results

265.0ms	9736×	body	80	valid
20.0ms	185×	body	640	valid
10.0ms	137×	body	320	valid
10.0ms	80×	body	1280	valid
4.0ms	87×	body	160	valid