Details

sample391.0ms

Algorithm

intervals

Results

208.0ms	1715×	body	80	nan
27.0ms	257×	body	80	valid

simplify7.6s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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))
0.7b	(+ (log (+ x y)) (log z))

rewrite441.0ms

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:

74.0ms	(- (+ (log (+ x y)) (log z)) t)
289.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
61.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series832.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(- (+ (log (+ x y)) (log z)) t)
345.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
85.0ms	(* (- a 0.5) (log t))
120.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

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

prune566.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite283.0ms

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:

8.0ms	(- (log z) t)
70.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
47.0ms	(* (- a 0.5) (log t))
154.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (log z) t)
135.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
64.0ms	(* (- a 0.5) (log t))
306.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.7s

Counts

110 → 110

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	239	1697
1	643	1595
2	2178	1497
done	5000	1479

prune607.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

1.1s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
29.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

563.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
295.0ms	(cbrt t)
245.0ms	(cbrt t)
102.0ms	(+ (log (+ x y)) (log z))

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	262	2912
1	894	2682
2	4057	2500
done	5000	2469

prune594.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))
5.0b	(pow (/ 1 t) -1/3)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
1.0ms	(cbrt t)
33.0ms	(+ (log (+ x y)) (log z))
13.0ms	(pow (/ 1 t) -1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

812.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
245.0ms	(cbrt t)
90.0ms	(+ (log (+ x y)) (log z))
279.0ms	(pow (/ 1 t) -1/3)

simplify2.1s

Counts

111 → 111

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	345	3316
1	1078	2985
2	4525	2739
done	5000	2664

prune846.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes584.0ms

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

sample11.6s

Algorithm

intervals

Results

6.8s	56347×	body	80	nan
804.0ms	8033×	body	80	valid