Details

sample456.0ms

Algorithm

intervals

Results

238.0ms	1949×	body	80	nan
38.0ms	257×	body	80	valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

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))

rewrite325.0ms

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:

58.0ms	(- (+ (log (+ x y)) (log z)) t)
211.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
39.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series633.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(- (+ (log (+ x y)) (log z)) t)
275.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
68.0ms	(* (- a 0.5) (log t))
78.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	239	1824
1	617	1724
2	2130	1617
done	5002	1584

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

20×	`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` `associate-*l/`
9×	`sum-log`
8×	`pow1` `associate-*r/`
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:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
22.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

583.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
112.0ms	(+ (log (+ x y)) (log z))
283.0ms	(cbrt t)
348.0ms	(cbrt t)

simplify2.1s

Counts

98 → 98

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	287	3156
1	955	2986
2	4228	2719
done	5001	2700

prune814.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (pow t 1/3))))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`frac-add`
19×	`*-un-lft-identity`
17×	`associate-+r+`
16×	`add-log-exp`
14×	`flip3--` `flip--`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-*l/`
9×	`pow1` `unpow-prod-down` `sum-log`
8×	`associate-*r/`
7×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-exp-log` `associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-` `log-pow` `add-cbrt-cube`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`+-commutative` `log-div` `diff-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 95

Calls

4 calls:

1.3s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (pow t 1/3))))
29.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
3.0ms	(pow t 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

689.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (pow t 1/3))))
95.0ms	(+ (log (+ x y)) (log z))
301.0ms	(cbrt t)
277.0ms	(pow t 1/3)

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	330	3339
1	1052	3082
2	4529	2809
done	5000	2786

prune849.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt t)
5.0ms	(pow t 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt z)
294.0ms	(cbrt z)
287.0ms	(cbrt t)
250.0ms	(pow t 1/3)

simplify1.8s

Counts

63 → 63

Iterations

Useful iterations: 4 (432.0ms)

Iter	Nodes	Cost
0	71	313
1	130	265
2	253	243
3	547	227
4	1458	223
done	5000	223

prune484.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	35
1	35	35
done	35	35

end0.0ms

sample14.0s

Algorithm

intervals

Results

8.0s	55816×	body	80	nan
1.5s	8030×	body	80	valid