Details

sample392.0ms

Algorithm

intervals

Results

212.0ms	1853×	body	80	nan
25.0ms	257×	body	80	valid

simplify7.3s

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

localize33.0ms

Local error

Found 3 expressions with local error:

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))

rewrite288.0ms

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×	`add-exp-log` `flip3--` `associate-l` `sum-log` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`associate-+l-` `flip3-+` `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:

244.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
29.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series514.0ms

Counts

3 → 9

Calls

3 calls:

307.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
110.0ms	(* (- a 0.5) (log t))
97.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	224	1499
1	585	1424
2	2049	1323
done	5000	1297

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

350.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
40.0ms	(* (- a 0.5) (log (sqrt t)))
34.0ms	(* (- a 0.5) (log (sqrt t)))
13.0ms	(+ (log (+ x y)) (log z))

series729.0ms

Counts

4 → 12

Calls

4 calls:

403.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
104.0ms	(* (- a 0.5) (log (sqrt t)))
89.0ms	(* (- a 0.5) (log (sqrt t)))
134.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

149 → 149

Iterations

Useful iterations: 2 (704.0ms)

Iter	Nodes	Cost
0	298	3764
1	823	3125
2	3693	2759
done	5000	2759

prune686.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
40×	`associate-+l+`
34×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`sqrt-prod`
21×	`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-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 122

Calls

4 calls:

46.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt (sqrt t))))) (* (- a 0.5) (log (cbrt (sqrt t)))))
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))
35.0ms	(+ (log (+ x y)) (log z))

series737.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt (sqrt t))))) (* (- a 0.5) (log (cbrt (sqrt t)))))
198.0ms	(cbrt (sqrt t))
229.0ms	(cbrt (sqrt t))
77.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

134 → 134

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	275	2264
1	700	1792
2	2056	1671
done	5000	1649

prune956.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
35×	`log-prod`
34×	`pow1`
28×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
16×	`log-pow`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`swap-sqr` `associate--l+`
9×	`associate--r+`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`distribute-lft-out--`
2×	`associate--l-` `pow2` `sub-neg` `log-div` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 127

Calls

4 calls:

24.0ms	(* (log (+ x y)) (log (+ x y)))
16.0ms	(* (log z) (log z))
16.0ms	(- (log (+ x y)) (log z))
31.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (log (+ x y)) (log (+ x y)))
214.0ms	(* (log z) (log z))
102.0ms	(- (log (+ x y)) (log z))
228.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

simplify3.4s

Counts

139 → 139

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	180	1740
1	367	1479
2	997	1328
3	3752	1209
done	5001	1162

prune758.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes708.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	37
1	33	37
done	33	37

end0.0ms

sample12.5s

Algorithm

intervals

Results

7.4s	55691×	body	80	nan
924.0ms	8028×	body	80	valid