Details

sample101.0ms

Algorithm

intervals

Results

47.0ms

526×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	616	29
4	1722	29
done	5000	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

24.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
222.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
60.0ms	(* (* (* x 18.0) y) z)

series252.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* j 27.0) k)
27.0ms	(* (* x 18.0) y)
153.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
44.0ms	(* (* (* x 18.0) y) z)

simplify2.3s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	158	1015
1	424	980
2	2817	840
done	5001	822

prune525.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* y 18.0))
0.2b	(* (* j 27.0) k)
2.9b	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
5.1b	(* (* x (* y 18.0)) z)

rewrite462.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* x (* y 18.0))
36.0ms	(* (* j 27.0) k)
308.0ms	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
96.0ms	(* (* x (* y 18.0)) z)

series262.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (* y 18.0))
25.0ms	(* (* j 27.0) k)
164.0ms	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
51.0ms	(* (* x (* y 18.0)) z)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	155	1014
1	416	981
2	2275	825
done	5000	823

prune495.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* x 18.0) y)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

32.0ms	(* j (* 27.0 k))
36.0ms	(* (* x 18.0) y)
287.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
105.0ms	(* (* (* x 18.0) y) z)

series264.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
26.0ms	(* (* x 18.0) y)
168.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
49.0ms	(* (* (* x 18.0) y) z)

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	156	1012
1	412	979
2	2535	839
done	5000	825

prune623.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.5b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

36.0ms	(* (* x 18.0) y)
33.0ms	(* 27.0 (* k j))
326.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
93.0ms	(* (* (* x 18.0) y) z)

series289.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x 18.0) y)
23.0ms	(* 27.0 (* k j))
179.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
53.0ms	(* (* (* x 18.0) y) z)

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	154	1012
1	408	979
2	2526	835
done	5001	821

prune527.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

regimes1.5s

Accuracy

12.8% (3.8b remaining)

Error of 4.5b against oracle of 0.7b and baseline of 5.1b

bsearch193.0ms

Steps

Iters	Range		Point
8	4.380805319875246e+68	4.626612217824153e+72	7.404784423365477e+68

simplify27.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	41	67
1	68	65
2	74	65
3	75	65
done	75	65

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.2s

16179×

body

valid