Details

sample180.0ms

Algorithm

intervals

Results

74.0ms	1641×	body	80	nan
14.0ms	256×	body	80	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

53.0ms	(- (+ (log (+ x y)) (log z)) t)
184.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series511.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(- (+ (log (+ x y)) (log z)) t)
205.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924
done	5001	924

prune386.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.5b	(+ (log (+ x y)) (log z))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
31×	`log-prod`
26×	`add-sqr-sqrt`
21×	`add-log-exp`
20×	`pow1` `associate-*l/` `frac-add`
18×	`add-cube-cbrt`
16×	`flip3--` `flip--`
15×	`distribute-lft-out`
14×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `sum-log` `sqrt-prod`
10×	`associate-l`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-+l+` `distribute-lft-out--`
5×	`flip3-+` `flip-+`
4×	`associate-+r+` `diff-log`
3×	`associate-+l-`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 137

Calls

4 calls:

212.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
25.0ms	(* (- a 0.5) (log (sqrt t)))
27.0ms	(* (- a 0.5) (log (sqrt t)))
12.0ms	(+ (log (+ x y)) (log z))

series500.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
62.0ms	(* (- a 0.5) (log (sqrt t)))
56.0ms	(* (- a 0.5) (log (sqrt t)))
77.0ms	(+ (log (+ x y)) (log z))

simplify139.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	844	2033
1	4103	1715
2	5001	1697
done	5001	1697

prune514.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

11.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series622.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (log (+ x y)) (log z))
180.0ms	(cbrt t)
182.0ms	(cbrt t)
181.0ms	(cbrt t)

simplify79.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3081	245
4	5002	245
done	5002	245

prune667.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sum-log` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

12.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(pow t 1/3)

series603.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (log (+ x y)) (log z))
181.0ms	(cbrt t)
176.0ms	(cbrt t)
176.0ms	(pow t 1/3)

simplify56.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	241	286
1	594	251
2	1885	242
3	5002	237
done	5002	237

prune429.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes733.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	28
1	37	28
done	37	28

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.5s	55886×	body	80	nan
431.0ms	8024×	body	80	valid