Details

sample170.0ms

Algorithm

intervals

Results

85.0ms	1827×	body	80	nan
15.0ms	257×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	58	16
3	122	16
4	297	16
5	708	16
6	1298	16
7	2218	16
8	2848	16
9	2851	16
done	2851	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

104.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series319.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))
69.0ms	(+ (log (+ x y)) (log z))

simplify589.0ms

Counts

89 → 89

Iterations

Useful iterations: done (586.0ms)

Iter	Nodes	Cost
0	224	1499
1	588	1424
2	2088	1323
done	5001	1316

prune312.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(- (log z) t)
43.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
11.0ms	(* (- a 0.5) (log t))
19.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (log z) t)
190.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
55.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify603.0ms

Counts

110 → 110

Iterations

Useful iterations: done (600.0ms)

Iter	Nodes	Cost
0	239	1697
1	637	1595
2	2192	1497
done	5001	1479

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

17.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
206.0ms	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
12.0ms	(* (- a 0.5) (log t))
94.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
290.0ms	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
54.0ms	(* (- a 0.5) (log t))
160.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))

simplify723.0ms

Counts

123 → 123

Iterations

Useful iterations: done (719.0ms)

Iter	Nodes	Cost
0	263	2356
1	726	2054
2	2500	1844
done	5000	1840

prune459.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5))))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-+l+`
24×	`log-prod` `frac-add`
21×	`add-log-exp`
18×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log`
13×	`distribute-lft-out`
12×	`flip3--` `associate-r/` `associate-l/` `flip--`
10×	`flip3-+` `flip-+`
9×	`pow1`
5×	`associate-+r+` `log-pow`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `pow1/3` `diff-log`
1×	`associate-+l-` `associate-+r-`

Counts

4 → 103

Calls

4 calls:

115.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5))))
16.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series782.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5))))
169.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
185.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify1.1s

Counts

115 → 115

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	254	3855
1	807	3332
2	3842	2710
done	5001	2710

prune623.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes525.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	22	21
done	22	21

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	55403×	body	80	nan
451.0ms	8030×	body	80	valid