Details

sample207.0ms

Algorithm

intervals

Results

115.0ms

568×

body

valid

simplify1.3s

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	950	29
done	5000	29

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
2.9b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* c t) (* i y)))
5.3b	(* b (- (* c z) (* i a)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

89.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
26.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* b (- (* c z) (* i a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

846.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
95.0ms	(* x (- (* y z) (* t a)))
104.0ms	(* j (- (* c t) (* i y)))
111.0ms	(* b (- (* c z) (* i a)))

simplify429.0ms

Counts

119 → 119

Iterations

Useful iterations: done (422.0ms)

Iter	Nodes	Cost
0	275	3882
1	1004	3622
done	5001	3498

prune1.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.6b

localize58.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x (- (* y z) (* t a)))
4.7b	(* i (* j y))
5.2b	(* j (* c t))
5.3b	(* b (- (* c z) (* i a)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `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	(* x (- (* y z) (* t a)))
26.0ms	(* i (* j y))
25.0ms	(* j (* c t))
31.0ms	(* b (- (* c z) (* i a)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (- (* y z) (* t a)))
42.0ms	(* i (* j y))
41.0ms	(* j (* c t))
109.0ms	(* b (- (* c z) (* i a)))

simplify961.0ms

Counts

96 → 96

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	172	958
1	465	946
2	1892	814
done	5000	806

prune958.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.8b

localize53.0ms

Local error

Found 4 expressions with local error:

4.3b	(* z (* b c))
4.3b	(* (- (* i a)) b)
4.7b	(* i (* j y))
5.2b	(* j (* c t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

25.0ms	(* z (* b c))
12.0ms	(* (- (* i a)) b)
12.0ms	(* i (* j y))
21.0ms	(* j (* c t))

series149.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* z (* b c))
41.0ms	(* (- (* i a)) b)
37.0ms	(* i (* j y))
44.0ms	(* j (* c t))

simplify935.0ms

Counts

88 → 88

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	137	645
1	357	629
2	1801	519
done	5001	517

prune911.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.5b

localize56.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (- (* i a)) b)
4.4b	(* (* z b) c)
4.7b	(* i (* j y))
5.2b	(* j (* c t))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

17.0ms	(* (- (* i a)) b)
25.0ms	(* (* z b) c)
12.0ms	(* i (* j y))
26.0ms	(* j (* c t))

series149.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* i a)) b)
31.0ms	(* (* z b) c)
40.0ms	(* i (* j y))
31.0ms	(* j (* c t))

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	140	648
1	372	630
2	2266	520
done	5000	520

prune650.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.5b

regimes3.2s

Accuracy

42% (6.1b remaining)

Error of 8.7b against oracle of 2.6b and baseline of 13.1b

bsearch7.0ms

simplify14.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	226
1	78	192
2	92	192
3	93	192
done	93	192

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.0s

19330×

body

valid