Details

sample319.0ms

Algorithm

intervals

Results

148.0ms	1959×	body	80	nan
45.0ms	256×	body	80	valid

simplify6.3s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite326.0ms

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:

263.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
35.0ms	(+ (log (+ x y)) (log z))

series441.0ms

Counts

3 → 9

Calls

3 calls:

253.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
86.0ms	(* (- a 0.5) (log t))
101.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	224	1499
1	585	1424
2	2049	1323
done	5000	1297

prune555.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))
0.2b	(+ (- (log z) t) (* (- a 0.5) (log t)))

rewrite238.0ms

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:

16.0ms	(- (log z) t)
133.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
23.0ms	(* (- a 0.5) (log t))
59.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (log z) t)
266.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
79.0ms	(* (- a 0.5) (log t))
146.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	239	1697
1	643	1595
2	2176	1497
done	5000	1479

prune509.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (log z) t) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.2b	(+ (+ (- (log z) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-+r+`
27×	`log-prod`
26×	`distribute-rgt-in` `distribute-lft-in`
24×	`frac-add`
18×	`cbrt-prod` `flip3--` `flip--`
16×	`add-log-exp`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r/` `associate-l/`
7×	`sum-log`
6×	`associate-+l+`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`associate-+l-` `sub-neg` `associate--l+`
2×	`+-commutative` `pow1/3` `diff-log`

Counts

4 → 99

Calls

4 calls:

93.0ms	(+ (- (log z) t) (* (- a 0.5) (* 2 (log (cbrt t)))))
285.0ms	(+ (+ (- (log z) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
2.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

292.0ms	(+ (- (log z) t) (* (- a 0.5) (* 2 (log (cbrt t)))))
269.0ms	(+ (+ (- (log z) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
304.0ms	(cbrt t)
302.0ms	(cbrt t)

simplify2.3s

Counts

111 → 111

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	295	3113
1	1001	2880
2	4110	2616
done	5002	2587

prune810.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow t 2/3))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.9b	(pow t 2/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`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 → 54

Calls

4 calls:

2.0ms	(cbrt (pow t 2/3))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(pow t 2/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt (pow t 2/3))
332.0ms	(cbrt t)
241.0ms	(cbrt t)
739.0ms	(pow t 2/3)

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: 4 (664.0ms)

Iter	Nodes	Cost
0	75	385
1	140	339
2	256	307
3	578	293
4	1793	288
done	5000	288

prune543.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes552.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	19	16
done	19	16

end0.0ms

sample13.3s

Algorithm

intervals

Results

7.9s	55271×	body	80	nan
1.1s	8032×	body	80	valid