Details

sample73.0ms

Algorithm

intervals

Results

29.0ms

466×

body

valid

simplify141.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
4.5b	(* (* (* (* x 18.0) y) z) t)
6.1b	(* (* (* x 18.0) y) z)

rewrite263.0ms

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:

16.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
175.0ms	(* (* (* (* x 18.0) y) z) t)
52.0ms	(* (* (* x 18.0) y) z)

series117.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
46.0ms	(* (* (* (* x 18.0) y) z) t)
31.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	360	423
1	2133	320
2	5001	320
done	5001	320

prune295.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* (* j 27.0) k)
4.5b	(* (* (* x (* 18.0 y)) z) t)
6.1b	(* (* x (* 18.0 y)) z)

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:

15.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
149.0ms	(* (* (* x (* 18.0 y)) z) t)
43.0ms	(* (* x (* 18.0 y)) z)

series117.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
46.0ms	(* (* (* x (* 18.0 y)) z) t)
31.0ms	(* (* x (* 18.0 y)) z)

simplify60.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	358	423
1	1917	320
2	5001	320
done	5001	320

prune301.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (* x (* 18.0 y)) z)
16.1b	(cbrt (* (* (* x (* 18.0 y)) z) t))
16.1b	(cbrt (* (* (* x (* 18.0 y)) z) t))
16.1b	(cbrt (* (* (* x (* 18.0 y)) z) t))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

44.0ms	(* (* x (* 18.0 y)) z)
134.0ms	(cbrt (* (* (* x (* 18.0 y)) z) t))
133.0ms	(cbrt (* (* (* x (* 18.0 y)) z) t))
135.0ms	(cbrt (* (* (* x (* 18.0 y)) z) t))

series448.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x (* 18.0 y)) z)
140.0ms	(cbrt (* (* (* x (* 18.0 y)) z) t))
138.0ms	(cbrt (* (* (* x (* 18.0 y)) z) t))
142.0ms	(cbrt (* (* (* x (* 18.0 y)) z) t))

simplify39.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	273	432
1	1154	371
2	5001	359
done	5001	359

prune364.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.9b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
3.7b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
6.1b	(* (* (* x 18.0) y) z)

rewrite945.0ms

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)
696.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
188.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
54.0ms	(* (* (* x 18.0) y) z)

series438.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt t)
70.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
157.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
29.0ms	(* (* (* x 18.0) y) z)

simplify88.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	443	1041
1	2590	706
2	5001	636
done	5001	636

prune380.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

regimes1.4s

Accuracy

27.7% (3.6b remaining)

Error of 4.2b against oracle of 0.6b and baseline of 5.6b

bsearch318.0ms

Steps

Iters	Range		Point
7	2.3134808493332517e+277	1.4172161705514164e+279	3.0909906061804614e+278
10	1.089749804375631e+227	9.193600799754258e+236	2.7837333610797672e+228
1	-6.754031852871187	-6.4299282815359655	-6.673005960037382

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	62
1	86	62
done	86	62

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s

16252×

body

valid