Details

sample319.0ms

Algorithm

intervals

Results

162.0ms	1547×	body	80	nan
26.0ms	259×	body	80	valid

simplify6.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize34.0ms

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))
0.6b	(+ (log (+ x y)) (log z))

rewrite468.0ms

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:

115.0ms	(- (+ (log (+ x y)) (log z)) t)
260.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
26.0ms	(+ (log (+ x y)) (log z))

series705.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(- (+ (log (+ x y)) (log z)) t)
256.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
72.0ms	(* (- a 0.5) (log t))
105.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

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

prune585.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))))

rewrite297.0ms

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)
76.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
50.0ms	(* (- a 0.5) (log t))
157.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (log z) t)
168.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
81.0ms	(* (- a 0.5) (log t))
322.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: done (1.4s)

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

prune578.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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)
0.6b	(+ (log (+ x y)) (log z))

rewrite1.4s

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:

1.4s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
8.0ms	(cbrt t)
1.0ms	(cbrt t)
13.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

540.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
296.0ms	(cbrt t)
284.0ms	(cbrt t)
123.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

90 → 90

Iterations

Useful iterations: done (2.1s)

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

prune714.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/` `frac-add`
16×	`add-log-exp`
15×	`*-un-lft-identity`
14×	`flip3--` `flip--`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sum-log`
7×	`associate-+r+` `log-prod`
5×	`add-exp-log` `associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-` `log-pow` `add-cbrt-cube`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `log-div` `distribute-lft-in` `diff-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

1.3s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow t 1/3)) (- a 0.5)))
2.0ms	(cbrt t)
25.0ms	(+ (log (+ x y)) (log z))
5.0ms	(pow t 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

749.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (pow t 1/3)) (- a 0.5)))
309.0ms	(cbrt t)
102.0ms	(+ (log (+ x y)) (log z))
249.0ms	(pow t 1/3)

simplify2.4s

Counts

97 → 97

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	299	3027
1	979	2726
2	4295	2546
done	5001	2509

prune687.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes670.0ms

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 (0.0ms)

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

end0.0ms

sample13.9s

Algorithm

intervals

Results

7.4s	57030×	body	80	nan
1.9s	8036×	body	80	valid