Details

sample188.0ms

Algorithm

intervals

Results

96.0ms	2058×	body	80	nan
14.0ms	257×	body	80	valid

simplify6.2s

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

localize16.0ms

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))

rewrite163.0ms

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:

30.0ms	(- (+ (log (+ x y)) (log z)) t)
112.0ms	(+ (- (+ (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))

series527.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(- (+ (log (+ x y)) (log z)) t)
211.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
65.0ms	(* (- a 0.5) (log t))
75.0ms	(+ (log (+ x y)) (log z))

simplify698.0ms

Counts

114 → 114

Iterations

Useful iterations: done (695.0ms)

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

prune391.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (* 1 (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (log (+ x y)) (- (log z) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

4.0ms	(- (log z) t)
15.0ms	(+ (* 1 (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (- (log z) t))

series503.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (log z) t)
203.0ms	(+ (* 1 (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
173.0ms	(+ (log (+ x y)) (- (log z) t))

simplify803.0ms

Counts

112 → 112

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	246	1767
1	642	1605
2	2202	1509
done	5001	1502

prune563.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* 1 (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

43.0ms	(+ (* 1 (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
41.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
8.0ms	(+ (log (+ x y)) (log (sqrt z)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(+ (* 1 (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
176.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
156.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.4s

Counts

144 → 144

Iterations

Useful iterations: 2 (522.0ms)

Iter	Nodes	Cost
0	340	4068
1	1132	3741
2	4686	3500
done	5000	3500

prune599.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.4b	(+ (log (+ x y)) (log (sqrt z)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

46×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `sqrt-prod` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 101

Calls

4 calls:

18.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
8.0ms	(+ (log (+ x y)) (log (sqrt z)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series702.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
150.0ms	(+ (log (+ x y)) (log (sqrt z)))
191.0ms	(cbrt t)
185.0ms	(cbrt t)

simplify776.0ms

Counts

113 → 113

Iterations

Useful iterations: done (773.0ms)

Iter	Nodes	Cost
0	254	1766
1	634	1426
2	1965	1285
done	5001	1280

prune635.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes542.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	19	23
1	27	21
done	27	21

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	55353×	body	80	nan
462.0ms	8021×	body	80	valid