Details

sample78.0ms

Algorithm

intervals

Results

32.0ms

506×

body

valid

simplify151.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14
done	5001	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.3b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) t)

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
52.0ms	(* (* (* x 18.0) y) z)
178.0ms	(* (* (* (* x 18.0) y) z) t)

series132.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
25.0ms	(* (* j 27.0) k)
32.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify68.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320
done	5001	320

prune298.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
5.3b	(* (* x (* 18.0 y)) z)
6.1b	(* (* (* x (* 18.0 y)) z) t)

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
16.0ms	(* x (* 18.0 y))
45.0ms	(* (* x (* 18.0 y)) z)
148.0ms	(* (* (* x (* 18.0 y)) z) t)

series135.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* j 27.0) k)
23.0ms	(* x (* 18.0 y))
32.0ms	(* (* x (* 18.0 y)) z)
55.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify63.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	358	423
1	1918	320
2	5001	320
done	5001	320

prune518.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* j (* 27.0 k))
5.3b	(* (* x (* 18.0 y)) z)
6.1b	(* (* (* x (* 18.0 y)) z) t)

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

15.0ms	(* x (* 18.0 y))
15.0ms	(* j (* 27.0 k))
45.0ms	(* (* x (* 18.0 y)) z)
151.0ms	(* (* (* x (* 18.0 y)) z) t)

series132.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
21.0ms	(* j (* 27.0 k))
32.0ms	(* (* x (* 18.0 y)) z)
55.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify62.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	350	422
1	1807	319
2	5001	319
done	5001	319

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.8b	(* (* (* (* x (* 18.0 y)) z) (* (cbrt t) (cbrt t))) (cbrt t))
5.3b	(* (* x (* 18.0 y)) z)
5.4b	(* (* (* x (* 18.0 y)) z) (* (cbrt t) (cbrt t)))

rewrite808.0ms

Algorithm

rewrite-expression-head

Rules

87×	`pow1` `add-exp-log`
63×	`pow-prod-down` `prod-exp` `cbrt-unprod`
62×	`add-cbrt-cube`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt t)
589.0ms	(* (* (* (* x (* 18.0 y)) z) (* (cbrt t) (cbrt t))) (cbrt t))
46.0ms	(* (* x (* 18.0 y)) z)
166.0ms	(* (* (* x (* 18.0 y)) z) (* (cbrt t) (cbrt t)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt t)
86.0ms	(* (* (* (* x (* 18.0 y)) z) (* (cbrt t) (cbrt t))) (cbrt t))
32.0ms	(* (* x (* 18.0 y)) z)
181.0ms	(* (* (* x (* 18.0 y)) z) (* (cbrt t) (cbrt t)))

simplify94.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	449	1042
1	2448	707
2	5001	637
done	5001	637

prune373.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.8b

regimes914.0ms

Accuracy

46% (2.6b remaining)

Error of 3.3b against oracle of 0.7b and baseline of 5.6b

bsearch198.0ms

Steps

Iters	Range		Point
9	4.163453347328419e+42	1.63054233001269e+52	5.125651671865202e+51
3	-2.096811858762124e-58	-1.6476304382049137e-58	-1.7879996321290423e-58

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	30
1	66	30
done	66	30

end0.0ms

sample2.2s

Algorithm

intervals

Results

993.0ms

16471×

body

valid