Details

sample400.0ms

Algorithm

intervals

Results

216.0ms	1942×	body	80	nan
25.0ms	257×	body	80	valid

simplify6.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

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

rewrite434.0ms

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:

59.0ms	(- (+ (log (+ x y)) (log z)) t)
301.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
43.0ms	(* (- a 0.5) (log t))
24.0ms	(+ (log (+ x y)) (log z))

series796.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(- (+ (log (+ x y)) (log z)) t)
301.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
87.0ms	(* (- a 0.5) (log t))
123.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

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

prune629.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))

rewrite220.0ms

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:

16.0ms	(- (log z) t)
97.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
75.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))

series661.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (log z) t)
343.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
128.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
94.0ms	(* (- a 0.5) (log t))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	239	1697
1	643	1595
2	2177	1497
done	5000	1479

prune566.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt t))) (- a 0.5))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

41.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
38.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
383.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
370.0ms	(cbrt t)
325.0ms	(cbrt t)

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	154	1272
1	454	1086
2	1858	896
done	5002	864

prune545.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))))
0.1b	(+ (- (log z) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5)))
0.3b	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))
0.5b	(cbrt (- t))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

140.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))))
67.0ms	(+ (- (log z) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5)))
85.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))
4.0ms	(cbrt (- t))

series2.2s

Counts

4 → 12

Calls

4 calls:

940.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))))
489.0ms	(+ (- (log z) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5)))
390.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))
375.0ms	(cbrt (- t))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	245	2394
1	658	2219
2	2436	2043
done	5001	2035

prune780.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes705.0ms

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

sample13.9s

Algorithm

intervals

Results

7.5s	56457×	body	80	nan
1.8s	8035×	body	80	valid