Details

sample186.0ms

Algorithm

intervals

Results

95.0ms	2058×	body	80	nan
14.0ms	257×	body	80	valid

simplify6.5s

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	1152	16
7	1906	16
8	2106	16
9	2109	16
done	2109	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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

rewrite154.0ms

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:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
104.0ms	(+ (- (+ (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))

series500.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- (+ (log (+ x y)) (log z)) t)
201.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify733.0ms

Counts

114 → 114

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	239	1824
1	609	1724
2	2048	1617
done	5000	1609

prune399.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (+ (log (+ x y)) (- (log z) t)) (* (log t) (- a 0.5)))
0.1b	(* (log t) (- a 0.5))
0.2b	(+ (log (+ x y)) (- (log z) t))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`pow1` `add-log-exp`
10×	`log-prod`
9×	`add-cube-cbrt` `associate-+r+`
7×	`associate-+l-` `sum-log` `log-pow` `distribute-lft-out` `distribute-lft-out--`
6×	`add-exp-log` `sub-neg` `flip3-+` `associate-*r/` `associate--l+` `add-cbrt-cube` `flip-+`
5×	`associate-+l+` `associate-r`
4×	`distribute-rgt-in` `log-div` `flip3--` `distribute-lft-in` `associate-l` `frac-add` `flip--`
3×	`diff-log`
2×	`+-commutative` `associate-+r-` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

4.0ms	(- (log z) t)
66.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (log t) (- a 0.5)))
10.0ms	(* (log t) (- a 0.5))
17.0ms	(+ (log (+ x y)) (- (log z) t))

series745.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (log z) t)
207.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (log t) (- a 0.5)))
97.0ms	(* (log t) (- a 0.5))
375.0ms	(+ (log (+ x y)) (- (log z) t))

simplify754.0ms

Counts

112 → 112

Iterations

Useful iterations: done (750.0ms)

Iter	Nodes	Cost
0	229	1676
1	608	1568
2	1992	1499
done	5000	1491

prune375.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t)) (* (log t) (- a 0.5)))
0.1b	(* (log t) (- a 0.5))
0.2b	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
32×	`distribute-lft-out`
28×	`pow1`
24×	`frac-add`
22×	`log-pow` `add-log-exp`
18×	`associate-+r+` `sum-log`
16×	`log-prod`
15×	`add-sqr-sqrt`
14×	`flip3-+` `associate-*r/` `flip-+`
13×	`associate-+l-` `flip3--` `flip--`
11×	`add-cube-cbrt` `distribute-lft-out--`
6×	`add-exp-log` `log-div` `associate-+l+` `associate--l+` `sqrt-prod` `add-cbrt-cube`
5×	`sub-neg` `associate-r`
4×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l`
3×	`+-commutative`
2×	`associate-+r-`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

189.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t)) (* (log t) (- a 0.5)))
12.0ms	(* (log t) (- a 0.5))
39.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series706.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t)) (* (log t) (- a 0.5)))
96.0ms	(* (log t) (- a 0.5))
172.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
148.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.3s

Counts

146 → 146

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	320	4015
1	1049	3753
2	4131	3533
done	5000	3531

prune556.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `associate-*r/`
7×	`associate-+r+` `log-prod`
6×	`cbrt-prod` `add-log-exp`
5×	`distribute-lft-out`
4×	`add-exp-log` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`
1×	`distribute-rgt-out`

Counts

4 → 70

Calls

4 calls:

12.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
6.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series764.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
71.0ms	(+ (log (+ x y)) (log z))
194.0ms	(cbrt t)
185.0ms	(cbrt t)

simplify654.0ms

Counts

82 → 82

Iterations

Useful iterations: done (652.0ms)

Iter	Nodes	Cost
0	175	1147
1	480	992
2	1578	858
done	5001	854

prune357.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes485.0ms

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	17	21
1	22	21
done	22	21

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.5s	55353×	body	80	nan
442.0ms	8021×	body	80	valid