Details

sample169.0ms

Algorithm

intervals

Results

90.0ms

512×

body

valid

simplify13.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
2.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.8b	(* (* (* x 18.0) y) z)

rewrite407.0ms

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:

27.0ms	(* (* j 27.0) k)
27.0ms	(* (* x 18.0) y)
282.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
68.0ms	(* (* (* x 18.0) y) z)

series245.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
165.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
40.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (327.0ms)

Iter	Nodes	Cost
0	158	1015
1	402	980
2	1636	822
done	5000	822

prune439.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* y 18.0))
2.2b	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
4.8b	(* (* x (* y 18.0)) z)

rewrite372.0ms

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:

26.0ms	(* (* j 27.0) k)
25.0ms	(* x (* y 18.0))
257.0ms	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
60.0ms	(* (* x (* y 18.0)) z)

series242.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
25.0ms	(* x (* y 18.0))
154.0ms	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
44.0ms	(* (* x (* y 18.0)) z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	155	1014
1	398	981
2	1547	823
done	5000	823

prune401.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.8b	(* (* (* x 18.0) y) z)

rewrite425.0ms

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:

25.0ms	(* j (* 27.0 k))
26.0ms	(* (* x 18.0) y)
289.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
83.0ms	(* (* (* x 18.0) y) z)

series215.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* j (* 27.0 k))
23.0ms	(* (* x 18.0) y)
136.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	156	1012
1	394	979
2	1605	821
done	5000	821

prune428.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* k j))
2.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.8b	(* (* (* x 18.0) y) z)

rewrite485.0ms

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:

28.0ms	(* (* x 18.0) y)
25.0ms	(* 27.0 (* k j))
335.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
93.0ms	(* (* (* x 18.0) y) z)

series279.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
37.0ms	(* 27.0 (* k j))
171.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
41.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	154	1012
1	390	979
2	1569	821
done	5000	821

prune509.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.5b

regimes1.4s

Accuracy

44.8% (1.9b remaining)

Error of 4.2b against oracle of 2.3b and baseline of 5.7b

bsearch420.0ms

Steps

Iters	Range		Point
8	1.1340888170133452e-73	4.2140784538217705e-69	4.983042576879065e-72
8	-1.1322513321420767e+131	-2.2529430059135285e+128	-6.023016971486714e+129

simplify26.0ms

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	43	95
1	66	67
done	66	67

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.7s

15963×

body

valid