Details

sample119.0ms

Algorithm

intervals

Results

58.0ms

504×

body

valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	197	29
3	567	29
4	1191	29
5	1736	29
6	2391	29
7	3711	29
8	4770	29
done	4770	29

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize29.0ms

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)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite115.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
20.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* (* (* (* x 18.0) y) z) t)

series109.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) y) z)
46.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	137	914
1	358	884
2	1758	678
done	5001	678

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
10.6b	(* (* (* x 18.0) y) (* z t))

rewrite861.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log`
3×	`associate-l` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 80

Calls

4 calls:

821.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
23.0ms	(* (* (* x 18.0) y) (* z t))

series510.0ms

Counts

4 → 12

Calls

4 calls:

423.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
20.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
45.0ms	(* (* (* x 18.0) y) (* z t))

simplify990.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	170	1349
1	466	1312
2	1959	1040
done	5000	1040

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b	(* (* j 27.0) k)
4.8b	(* y (* z t))
5.8b	(* (* x 18.0) (* y (* z t)))

rewrite626.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`diff-log`
3×	`*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 80

Calls

4 calls:

590.0ms	(- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* j 27.0) k)
6.0ms	(* y (* z t))
21.0ms	(* (* x 18.0) (* y (* z t)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

396.0ms	(- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
22.0ms	(* (* j 27.0) k)
22.0ms	(* y (* z t))
44.0ms	(* (* x 18.0) (* y (* z t)))

simplify816.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	167	1342
1	456	1307
2	1759	1071
done	5001	1071

prune329.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y (* z t)))
0.2b	(* (* j 27.0) k)
4.8b	(* y (* z t))
5.7b	(* x (* 18.0 (* y (* z t))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

14.0ms	(* 18.0 (* y (* z t)))
6.0ms	(* (* j 27.0) k)
6.0ms	(* y (* z t))
39.0ms	(* x (* 18.0 (* y (* z t))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 18.0 (* y (* z t)))
17.0ms	(* (* j 27.0) k)
22.0ms	(* y (* z t))
47.0ms	(* x (* 18.0 (* y (* z t))))

simplify875.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	130	901
1	337	877
2	1377	671
done	5001	671

prune300.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

86.5% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 5.5b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	149
1	74	149
done	74	149

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16437×

body

valid