Details

sample85.0ms

Algorithm

intervals

Results

39.0ms

630×

body

valid

simplify79.0ms

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: 11.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
4.0b	(* x (- (* y z) (* t a)))
4.4b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite89.0ms

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) (* i a))
26.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* b (- (* c z) (* i a)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* c z) (* i a))
71.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c t) (* i y)))
70.0ms	(* b (- (* c z) (* i a)))

simplify50.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485
done	5002	485

prune393.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

localize23.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (* t a)))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* x (* y z))
6.2b	(* b (- (* c z) (* i a)))

rewrite83.0ms

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:

11.0ms	(* x (- (* t a)))
26.0ms	(* j (- (* c t) (* i y)))
17.0ms	(* x (* y z))
26.0ms	(* b (- (* c z) (* i a)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (- (* t a)))
70.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* x (* y z))
71.0ms	(* b (- (* c z) (* i a)))

simplify56.0ms

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	444	484
1	2062	419
2	5002	419
done	5002	419

prune445.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.0b

localize29.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (* t a)))
4.9b	(* x (* y z))
5.5b	(* j (* c t))
6.2b	(* b (- (* c z) (* i a)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

11.0ms	(* x (- (* t a)))
18.0ms	(* x (* y z))
15.0ms	(* j (* c t))
25.0ms	(* b (- (* c z) (* i a)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (- (* t a)))
25.0ms	(* x (* y z))
24.0ms	(* j (* c t))
70.0ms	(* b (- (* c z) (* i a)))

simplify52.0ms

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	402	395
1	1853	335
2	5002	335
done	5002	335

prune444.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.5b

localize32.0ms

Local error

Found 4 expressions with local error:

6.2b	(* b (- (* c z) (* i a)))
13.6b	(cbrt (* x (- (* t a))))
13.6b	(cbrt (* x (- (* t a))))
13.6b	(cbrt (* x (- (* t a))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

25.0ms	(* b (- (* c z) (* i a)))
5.0ms	(cbrt (* x (- (* t a))))
5.0ms	(cbrt (* x (- (* t a))))
6.0ms	(cbrt (* x (- (* t a))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* b (- (* c z) (* i a)))
103.0ms	(cbrt (* x (- (* t a))))
103.0ms	(cbrt (* x (- (* t a))))
102.0ms	(cbrt (* x (- (* t a))))

simplify79.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	250	413
1	854	366
2	3157	357
3	5001	357
done	5001	357

prune353.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.5b

regimes1.1s

Accuracy

24.8% (5.3b remaining)

Error of 10.7b against oracle of 5.4b and baseline of 12.4b

bsearch424.0ms

Steps

Iters	Range		Point
9	1.2843479134102339e+295	3.1906883512799627e+304	2.856408514063506e+304
8	7.323265986173172e+58	7.278178398351277e+62	1.51655105499074e+61
9	-2.5056050743603518e+60	-1.814218698571922e+52	-1.760233076037612e+58

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	83
1	101	83
2	103	83
3	103	83
done	103	83

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

19148×

body

valid