Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify87.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	52	7
4	67	7
5	72	7
6	77	7
done	77	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (+ (+ 10.0 d2) 20.0))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

28.0ms	(+ (+ 10.0 d2) 20.0)
122.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series77.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (+ 10.0 d2) 20.0)
38.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify671.0ms

Counts

45 → 45

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	65	392
1	191	380
2	778	344
done	5000	334

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10.0) (* d1 d2))
0.1b	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

rewrite50.0ms

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:

8.0ms	(+ (* d1 10.0) (* d1 d2))
41.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series119.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* d1 10.0) (* d1 d2))
62.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify875.0ms

Counts

32 → 32

Iterations

Useful iterations: done (873.0ms)

Iter	Nodes	Cost
0	57	433
1	188	337
2	958	283
done	5000	279

prune99.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.7b	(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
23×	`pow1`
21×	`cbrt-prod`
14×	`associate-*l/`
12×	`pow1/3` `distribute-lft-out`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `pow-prod-up`
8×	`associate-r/` `associate-r*`
6×	`pow-plus`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 108

Calls

4 calls:

20.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
28.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
28.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
319.0ms	(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
113.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
140.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
21.0ms	(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

simplify926.0ms

Counts

120 → 120

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	160	2787
1	400	2652
2	1527	2301
done	5001	2119

prune320.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(+ (+ 10.0 d2) 20.0)
0.1b	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.2b	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
16×	`associate-r`
14×	`sqrt-div` `add-log-exp`
13×	`add-sqr-sqrt`
12×	`distribute-lft-out`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
6×	`sum-log`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

32.0ms	(+ (+ 10.0 d2) 20.0)
40.0ms	(+ (+ 10.0 d2) 20.0)
97.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
204.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ 10.0 d2) 20.0)
30.0ms	(+ (+ 10.0 d2) 20.0)
76.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
48.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	129	1391
1	344	1135
2	1807	1035
done	5000	1011

prune269.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample882.0ms

Algorithm

intervals

Results

519.0ms	9026×	body	80	valid
38.0ms	63×	body	1280	valid
8.0ms	47×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	16×	body	160	valid