Details

sample165.0ms

Algorithm

intervals

Results

84.0ms	1827×	body	80	nan
14.0ms	257×	body	80	valid

simplify4.8s

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	1289	16
7	2205	16
8	2736	16
9	2739	16
done	2739	16

prune6.0ms

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))

rewrite115.0ms

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:

96.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series327.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (log (+ x y)) (log z))

simplify574.0ms

Counts

89 → 89

Iterations

Useful iterations: done (571.0ms)

Iter	Nodes	Cost
0	224	1499
1	588	1424
2	2086	1323
done	5000	1316

prune318.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite78.0ms

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)
42.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
11.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (log z) t)
196.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
62.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify603.0ms

Counts

110 → 110

Iterations

Useful iterations: done (595.0ms)

Iter	Nodes	Cost
0	239	1697
1	637	1595
2	2190	1497
done	5000	1483

prune514.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (log 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)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

37.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5))))
17.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series696.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5))))
170.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
175.0ms	(cbrt t)
178.0ms	(cbrt t)

simplify1.0s

Counts

113 → 113

Iterations

Useful iterations: 2 (271.0ms)

Iter	Nodes	Cost
0	255	3323
1	789	2857
2	3768	2430
done	5000	2430

prune584.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
2.0ms	(cbrt (* (cbrt t) (cbrt t)))
1.0ms	(cbrt (cbrt t))

series881.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
187.0ms	(cbrt t)
272.0ms	(cbrt (* (cbrt t) (cbrt t)))
242.0ms	(cbrt (cbrt t))

simplify535.0ms

Counts

57 → 57

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	58	334
1	110	321
2	223	273
3	471	261
4	1422	261
done	5000	261

prune341.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes471.0ms

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	15	16
1	19	16
done	19	16

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	55403×	body	80	nan
431.0ms	8030×	body	80	valid