Details

sample181.0ms

Algorithm

intervals

Results

76.0ms

577×

body

valid

simplify1.4s

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	969	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
5.0b	(* x (- (* y z) (* t a)))
5.4b	(* j (- (* c a) (* y i)))
5.8b	(* b (- (* c z) (* t i)))

rewrite115.0ms

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:

8.0ms	(- (* y z) (* t a))
36.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* j (- (* c a) (* y i)))
30.0ms	(* b (- (* c z) (* t i)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* y z) (* t a))
87.0ms	(* x (- (* y z) (* t a)))
99.0ms	(* j (- (* c a) (* y i)))
105.0ms	(* b (- (* c z) (* t i)))

simplify885.0ms

Counts

96 → 96

Iterations

Useful iterations: done (883.0ms)

Iter	Nodes	Cost
0	166	1155
1	456	1141
2	1810	1013
done	5000	1007

prune509.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.8b

localize47.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.3b	(* a (* j c))
5.3b	(* (- (* y i)) j)
5.8b	(* b (- (* c z) (* t i)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

37.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* a (* j c))
21.0ms	(* (- (* y i)) j)
41.0ms	(* b (- (* c z) (* t i)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* a (* j c))
45.0ms	(* (- (* y i)) j)
109.0ms	(* b (- (* c z) (* t i)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	174	1003
1	469	987
2	1970	861
done	5000	855

prune684.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.1b

localize41.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a j) c)
5.0b	(* x (- (* y z) (* t a)))
5.3b	(* (- (* y i)) j)
5.8b	(* b (- (* c z) (* t i)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
12×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

35.0ms	(* (* a j) c)
48.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* (- (* y i)) j)
50.0ms	(* b (- (* c z) (* t i)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* a j) c)
110.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* (- (* y i)) j)
108.0ms	(* b (- (* c z) (* t i)))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	177	1006
1	485	988
2	2430	870
done	5000	866

prune677.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.1b

localize37.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a j) c)
5.0b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))
6.0b	(* y (- (* i j)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
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:

31.0ms	(* (* a j) c)
58.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* b (- (* c z) (* t i)))
12.0ms	(* y (- (* i j)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* a j) c)
108.0ms	(* x (- (* y z) (* t a)))
111.0ms	(* b (- (* c z) (* t i)))
56.0ms	(* y (- (* i j)))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	181	1004
1	493	984
2	2221	863
done	5001	859

prune559.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.6b

regimes2.2s

Accuracy

13.8% (8.8b remaining)

Error of 11.2b against oracle of 2.4b and baseline of 12.6b

bsearch747.0ms

Steps

Iters	Range		Point
10	1.6468123760063376e+164	4.8823044642629417e+176	1.9501922704532267e+164
9	-8.505981526995709e-283	-1.3883965728570364e-289	-2.220774384724803e-289
9	-17060104718527.559	-145885.62498686695	-757396.01299941

simplify53.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	148
1	94	148
2	115	148
3	118	148
done	118	148

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.6s

19176×

body

valid