Details

sample128.0ms

Algorithm

intervals

Results

74.0ms

529×

body

valid

simplify13.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
348.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
67.0ms	(* (* (* x 18.0) y) z)

series200.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
127.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
32.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (312.0ms)

Iter	Nodes	Cost
0	158	1015
1	402	980
2	1642	822
done	5000	822

prune531.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* j (* 27.0 k))
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
20.0ms	(* j (* 27.0 k))
282.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
75.0ms	(* (* (* x 18.0) y) z)

series241.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
21.0ms	(* j (* 27.0 k))
144.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
46.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	156	1012
1	394	979
2	1603	821
done	5000	821

prune534.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x 4.0) i) (* j (* 27.0 k)))
0.5b	(* j (* 27.0 k))
2.9b	(* t (- (* (* x 18.0) (* z y)) (* a 4.0)))
4.0b	(* (* x 18.0) (* z y))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

24.0ms	(+ (* (* x 4.0) i) (* j (* 27.0 k)))
21.0ms	(* j (* 27.0 k))
173.0ms	(* t (- (* (* x 18.0) (* z y)) (* a 4.0)))
36.0ms	(* (* x 18.0) (* z y))

series320.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (* (* x 4.0) i) (* j (* 27.0 k)))
32.0ms	(* j (* 27.0 k))
163.0ms	(* t (- (* (* x 18.0) (* z y)) (* a 4.0)))
46.0ms	(* (* x 18.0) (* z y))

simplify1.1s

Counts

87 → 87

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	162	1116
1	441	1071
2	1675	917
done	5000	917

prune889.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x 4.0) i) (pow (* 27.0 (* k j)) 1))
0.2b	(* 27.0 (* k j))
2.9b	(* t (- (* (* x 18.0) (* z y)) (* a 4.0)))
4.0b	(* (* x 18.0) (* z y))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

21.0ms	(+ (* (* x 4.0) i) (pow (* 27.0 (* k j)) 1))
18.0ms	(* 27.0 (* k j))
166.0ms	(* t (- (* (* x 18.0) (* z y)) (* a 4.0)))
38.0ms	(* (* x 18.0) (* z y))

series324.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* (* x 4.0) i) (pow (* 27.0 (* k j)) 1))
27.0ms	(* 27.0 (* k j))
174.0ms	(* t (- (* (* x 18.0) (* z y)) (* a 4.0)))
34.0ms	(* (* x 18.0) (* z y))

simplify1.2s

Counts

87 → 87

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	163	1152
1	442	1067
2	1654	913
done	5001	909

prune482.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

regimes1.3s

Accuracy

8.9% (3.6b remaining)

Error of 5.7b against oracle of 2.1b and baseline of 6.1b

bsearch253.0ms

Steps

Iters	Range		Point
9	-3.868226521615771e+86	-4.950454304188712e+81	-3.6709132613540256e+86

simplify12.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	42	64
1	64	62
done	64	62

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.7s

16213×

body

valid