Details

sample77.0ms

Algorithm

intervals

Results

33.0ms

514×

body

valid

simplify8.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.4b	(* (* x 18.0) y)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite290.0ms

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:

17.0ms	(* (* x 4.0) i)
17.0ms	(* (* x 18.0) y)
200.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
54.0ms	(* (* (* x 18.0) y) z)

series189.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 4.0) i)
20.0ms	(* (* x 18.0) y)
117.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
32.0ms	(* (* (* x 18.0) y) z)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (255.0ms)

Iter	Nodes	Cost
0	153	1015
1	395	980
2	1623	822
done	5000	822

prune333.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.2b	(* (- (* a 4.0)) t)
4.0b	(* x (* z y))
5.3b	(* t (* x (* z y)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-l`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
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 → 85

Calls

4 calls:

106.0ms	(* 18.0 (* t (* x (* z y))))
10.0ms	(* (- (* a 4.0)) t)
15.0ms	(* x (* z y))
42.0ms	(* t (* x (* z y)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 18.0 (* t (* x (* z y))))
22.0ms	(* (- (* a 4.0)) t)
32.0ms	(* x (* z y))
46.0ms	(* t (* x (* z y)))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	118	939
1	300	913
2	1359	717
done	5000	717

prune334.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.2b	(* 18.0 (* (* t x) (* z y)))
0.2b	(* (- (* a 4.0)) t)
8.5b	(* (* t x) (* z y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-exp-log` `add-cbrt-cube`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`associate-l`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `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 → 89

Calls

4 calls:

17.0ms	(* (* x 4.0) i)
69.0ms	(* 18.0 (* (* t x) (* z y)))
10.0ms	(* (- (* a 4.0)) t)
28.0ms	(* (* t x) (* z y))

series141.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 4.0) i)
50.0ms	(* 18.0 (* (* t x) (* z y)))
22.0ms	(* (- (* a 4.0)) t)
48.0ms	(* (* t x) (* z y))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: 2 (251.0ms)

Iter	Nodes	Cost
0	146	1023
1	383	990
2	1818	762
done	5000	762

prune335.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* (* t x) z) y))
0.2b	(* (- (* a 4.0)) t)
5.5b	(* (* (* t x) z) y)
5.6b	(* (* t x) z)

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `associate-l`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
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 → 85

Calls

4 calls:

137.0ms	(* 18.0 (* (* (* t x) z) y))
11.0ms	(* (- (* a 4.0)) t)
52.0ms	(* (* (* t x) z) y)
16.0ms	(* (* t x) z)

series156.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 18.0 (* (* (* t x) z) y))
29.0ms	(* (- (* a 4.0)) t)
47.0ms	(* (* (* t x) z) y)
28.0ms	(* (* t x) z)

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	128	949
1	328	919
2	1643	723
done	5000	723

prune310.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

regimes712.0ms

Accuracy

66.7% (1.5b remaining)

Error of 1.9b against oracle of 0.3b and baseline of 4.9b

bsearch215.0ms

Steps

Iters	Range		Point
9	1.2589921686921708e-28	2.1261294527294433e-23	7.712463495126097e-24
6	-5.518553156936373e-45	-1.2934669252785625e-45	-2.0920623128406453e-45

simplify14.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	98
1	68	70
2	76	70
3	80	70
done	80	70

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s

16083×

body

valid