Details

sample352.0ms

Algorithm

intervals

Results

206.0ms	1799×	body	80	nan
27.0ms	258×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	456
1	27	456
2	59	456
3	150	456
4	434	456
5	1502	456
done	5000	456

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite291.0ms

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×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `log-pow` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`flip3-+` `associate-+l-` `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:

35.0ms	(* (- a 0.5) (log t))
232.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
19.0ms	(+ (log (+ x y)) (log z))

series523.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* (- a 0.5) (log t))
321.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
109.0ms	(+ (log (+ x y)) (log z))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	226	37307
1	607	34046
2	2535	32617
done	5002	32495

prune813.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt z) (cbrt z))
295.0ms	(cbrt z)
299.0ms	(cbrt z)
286.0ms	(cbrt z)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune858.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

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×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `associate--l+` `add-exp-log` `flip--`
5×	`associate-l`
4×	`associate-r` `frac-add` `associate-+l-`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `log-div` `sub-neg` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

6.0ms	(- (log z) t)
19.0ms	(* (- a 0.5) (log t))
47.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
132.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (log z) t)
85.0ms	(* (- a 0.5) (log t))
137.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
313.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify2.2s

Counts

110 → 110

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	242	43073
1	665	39610
2	2732	38292
done	5001	38170

prune929.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

334.0ms	(* (cbrt t) (cbrt t))
263.0ms	(cbrt t)
236.0ms	(cbrt t)
283.0ms	(cbrt t)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune695.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	686
1	24	686
done	24	686

end0.0ms

sample10.1s

Algorithm

intervals

Results

6.6s	55994×	body	80	nan
902.0ms	8040×	body	80	valid