Details

sample85.0ms

Algorithm

intervals

Results

37.0ms

628×

body

valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
4.2b	(* j (- (* c a) (* y i)))
4.2b	(* x (- (* y z) (* t a)))
6.1b	(* b (- (* c z) (* t i)))

rewrite95.0ms

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* c z) (* t i))
68.0ms	(* j (- (* c a) (* y i)))
70.0ms	(* x (- (* y z) (* t a)))
72.0ms	(* b (- (* c z) (* t i)))

simplify52.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	422	552
1	1762	485
2	5001	485
done	5001	485

prune394.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
4.1b	(* (cbrt b) (- (* c z) (* t i)))
4.2b	(* j (- (* c a) (* y i)))
4.2b	(* x (- (* y z) (* t a)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

65.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
30.0ms	(* (cbrt b) (- (* c z) (* t i)))
27.0ms	(* j (- (* c a) (* y i)))
30.0ms	(* x (- (* y z) (* t a)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
291.0ms	(* (cbrt b) (- (* c z) (* t i)))
70.0ms	(* j (- (* c a) (* y i)))
75.0ms	(* x (- (* y z) (* t a)))

simplify85.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	575	966
1	2594	762
2	5002	699
done	5002	699

prune529.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.1b

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b	(* j (- (* c a) (* y i)))
4.2b	(* x (- (* y z) (* t a)))
4.4b	(* z (* b c))
5.3b	(* (- b) (* t i))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

28.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* z (* b c))
20.0ms	(* (- b) (* t i))

series199.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* j (- (* c a) (* y i)))
69.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* z (* b c))
28.0ms	(* (- b) (* t i))

simplify58.0ms

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	485	497
1	2036	427
2	5002	427
done	5002	427

prune485.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.9b

localize23.0ms

Local error

Found 4 expressions with local error:

4.2b	(* j (- (* c a) (* y i)))
4.2b	(* x (- (* y z) (* t a)))
4.4b	(* z (* b c))
4.5b	(* (* (- b) t) i)

rewrite99.0ms

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×	`distribute-lft-neg-out` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

28.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* z (* b c))
26.0ms	(* (* (- b) t) i)

series201.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* j (- (* c a) (* y i)))
74.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* z (* b c))
28.0ms	(* (* (- b) t) i)

simplify60.0ms

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	471	476
1	2060	406
2	5002	406
done	5002	406

prune328.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.9b

regimes1.1s

Accuracy

2.4% (7.0b remaining)

Error of 12.5b against oracle of 5.5b and baseline of 12.7b

bsearch82.0ms

Steps

Iters	Range		Point
7	-2.8161451568494937e-33	-8.54488157769331e-35	-1.2972310261003198e-34

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	32
1	72	32
2	80	32
3	80	32
done	80	32

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

19044×

body

valid