Details

sample178.0ms

Algorithm

intervals

Results

90.0ms	1827×	body	80	nan
15.0ms	257×	body	80	valid

simplify2.7s

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	661	16
6	1150	16
7	1881	16
8	2071	16
9	2074	16
done	2074	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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))

rewrite129.0ms

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:

108.0ms	(+ (- (+ (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))

series347.0ms

Counts

3 → 9

Calls

3 calls:

207.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify602.0ms

Counts

89 → 89

Iterations

Useful iterations: done (600.0ms)

Iter	Nodes	Cost
0	224	1499
1	577	1424
2	1966	1323
done	5000	1316

prune336.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite85.0ms

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:

4.0ms	(- (log z) t)
46.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
12.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (log z) t)
207.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
56.0ms	(* (- a 0.5) (log t))
96.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify824.0ms

Counts

110 → 110

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	239	1697
1	635	1595
2	2093	1497
done	5001	1483

prune414.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/` `frac-add`
19×	`log-prod`
18×	`*-un-lft-identity`
16×	`add-log-exp`
15×	`associate-+r+`
14×	`flip3--` `flip--`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
9×	`sum-log`
8×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `associate-+l-` `log-pow` `add-cbrt-cube`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`

Counts

4 → 86

Calls

4 calls:

463.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (- a 0.5) (log (cbrt t))))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series820.0ms

Counts

4 → 12

Calls

4 calls:

383.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (- a 0.5) (log (cbrt t))))
74.0ms	(+ (log (+ x y)) (log z))
185.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	287	3156
1	947	2922
2	3836	2674
done	5001	2674

prune507.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (pow t 2/3))
0.6b	(cbrt (cbrt t))
6.0b	(pow t 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt (pow t 2/3))
1.0ms	(cbrt (cbrt t))
1.0ms	(pow t 2/3)

series787.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
184.0ms	(cbrt (pow t 2/3))
245.0ms	(cbrt (cbrt t))
178.0ms	(pow t 2/3)

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: 4 (408.0ms)

Iter	Nodes	Cost
0	93	428
1	171	383
2	320	347
3	721	333
4	2509	328
done	5001	328

prune383.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes535.0ms

Accuracy

0% (0.2b 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	15	16
1	19	16
done	19	16

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	55403×	body	80	nan
476.0ms	8030×	body	80	valid