Details

sample130.0ms

Algorithm

intervals

Results

66.0ms

622×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
3.3b	(* b (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
6.4b	(* x (- (* y z) (* t a)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

15.0ms	(- (* c t) (* i y))
56.0ms	(* b (- (* c z) (* i a)))
55.0ms	(* j (- (* c t) (* i y)))
56.0ms	(* x (- (* y z) (* t a)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* c t) (* i y))
92.0ms	(* b (- (* c z) (* i a)))
105.0ms	(* j (- (* c t) (* i y)))
127.0ms	(* x (- (* y z) (* t a)))

simplify2.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	166	1155
1	424	1141
2	1218	1007
3	4449	1007
done	5001	1007

prune583.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.5b	(* b (- (* i a)))
5.6b	(* j (- (* c t) (* i y)))
5.8b	(* z (* b c))
6.4b	(* x (- (* y z) (* t a)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

24.0ms	(* b (- (* i a)))
27.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* z (* b c))
50.0ms	(* x (- (* y z) (* t a)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* b (- (* i a)))
118.0ms	(* j (- (* c t) (* i y)))
31.0ms	(* z (* b c))
89.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	175	1001
1	442	983
2	1445	852
done	5000	852

prune726.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.5b

localize34.0ms

Local error

Found 4 expressions with local error:

3.3b	(* b (- (* c z) (* i a)))
4.5b	(* a (* x t))
5.6b	(* j (- (* c t) (* i y)))
5.8b	(* (* y z) x)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

37.0ms	(* b (- (* c z) (* i a)))
17.0ms	(* a (* x t))
36.0ms	(* j (- (* c t) (* i y)))
31.0ms	(* (* y z) x)

series264.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* b (- (* c z) (* i a)))
43.0ms	(* a (* x t))
81.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* (* y z) x)

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 2 (387.0ms)

Iter	Nodes	Cost
0	175	961
1	442	947
2	1459	807
done	5001	807

prune682.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.8b

localize53.0ms

Local error

Found 4 expressions with local error:

3.3b	(* b (- (* c z) (* i a)))
4.4b	(* t (* x a))
5.6b	(* j (- (* c t) (* i y)))
5.8b	(* (* y z) x)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

39.0ms	(* b (- (* c z) (* i a)))
16.0ms	(* t (* x a))
55.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* (* y z) x)

series267.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* b (- (* c z) (* i a)))
38.0ms	(* t (* x a))
85.0ms	(* j (- (* c t) (* i y)))
39.0ms	(* (* y z) x)

simplify1.9s

Counts

96 → 96

Iterations

Useful iterations: 2 (667.0ms)

Iter	Nodes	Cost
0	175	961
1	442	947
2	1459	807
done	5000	807

prune561.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 1.8b

regimes1.5s

Accuracy

14.3% (9.0b remaining)

Error of 10.6b against oracle of 1.6b and baseline of 12.1b

bsearch508.0ms

Steps

Iters	Range		Point
8	9.634316850385311e-209	3.5684734553027844e-205	3.5224900077324342e-205
10	-2.296178157052627e-27	-1.1586842635583924e-37	-7.200740981334783e-34

simplify31.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	53	106
1	93	104
2	113	104
3	124	104
done	124	104

end0.0ms

sample6.0s

Algorithm

intervals

Results

4.0s

19110×

body

valid