Details

sample326.0ms

Algorithm

intervals

Results

192.0ms	1799×	body	80	nan
25.0ms	258×	body	80	valid

simplify934.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1502
4	434
3	150
2	59
1	27
0	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

24.0ms	(* (- a 0.5) (log t))
183.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(+ (log (+ x y)) (log z))

series417.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (- a 0.5) (log t))
237.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
91.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	2535
1	607
0	226

prune603.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

12.0ms	(- (log z) t)
24.0ms	(* (log t) (- a 0.5))
22.0ms	(+ (* (log t) (- a 0.5)) (- (log z) t))
69.0ms	(+ (log (+ x y)) (+ (* (log t) (- a 0.5)) (- (log z) t)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (log z) t)
140.0ms	(* (log t) (- a 0.5))
85.0ms	(+ (* (log t) (- a 0.5)) (- (log z) t))
231.0ms	(+ (log (+ x y)) (+ (* (log t) (- a 0.5)) (- (log z) t)))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2922
1	642
0	230

prune796.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

46.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
11.0ms	(+ (log (+ x y)) (log z))

series866.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (log (cbrt t)) (- a 0.5)))
254.0ms	(cbrt t)
278.0ms	(cbrt t)
96.0ms	(+ (log (+ x y)) (log z))

simplify889.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2232
1	569
0	209

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (* 2 (log (cbrt 1))) (- a 0.5)) (* (* 3 (log (cbrt t))) (- a 0.5))))
0.3b	(* 3 (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

320.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (* 2 (log (cbrt 1))) (- a 0.5)) (* (* 3 (log (cbrt t))) (- a 0.5))))
16.0ms	(* 3 (log (cbrt t)))
1.0ms	(cbrt t)
21.0ms	(+ (log (+ x y)) (log z))

series1.8s

Counts

4 → 12

Calls

4 calls:

899.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (* 2 (log (cbrt 1))) (- a 0.5)) (* (* 3 (log (cbrt t))) (- a 0.5))))
470.0ms	(* 3 (log (cbrt t)))
303.0ms	(cbrt t)
129.0ms	(+ (log (+ x y)) (log z))

simplify477.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
1	984
0	312

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample12.4s

Algorithm

intervals

Results

8.1s	55994×	body	80	nan
1.1s	8040×	body	80	valid