Details

sample158.0ms

Algorithm

intervals

Results

76.0ms	115×	body	1280	valid
38.0ms	78×	body	640	valid
15.0ms	288×	body	80	nan
10.0ms	43×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	5×	body	80	valid

simplify419.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	118	12
7	126	12
8	128	12
done	128	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
3.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
15.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series227.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (+ 1.0 x) (- 1.0 x))
182.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.9s

Counts

92 → 92

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	1310
1	335	1243
2	851	1182
3	2166	1136
done	5000	1134

prune208.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.0b	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
3.7b	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-exp-log`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`log-div` `div-exp`
5×	`rem-log-exp` `associate-/r*`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `associate-/r/` `flip-+`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `pow-prod-down` `log-pow` `un-div-inv` `flip--` `cbrt-unprod` `div-inv`
1×	`log-prod` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 117

Calls

3 calls:

12.0ms	(/ 1 (- 1.0 x))
58.0ms	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
18.0ms	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

series236.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- 1.0 x))
40.0ms	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
163.0ms	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

simplify3.0s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	176	1464
1	413	1196
2	1201	1084
3	3470	1051
done	5000	1051

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x))))
0.0b	(* x (- x 1.0))
1.6b	(log (+ (pow 1.0 3) (pow x 3)))
3.7b	(log (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
38×	`prod-diff`
37×	`pow1`
36×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
24×	`log-pow`
20×	`log-prod`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `distribute-lft-out`
9×	`associate--l+`
8×	`unpow-prod-down` `log-div` `cube-prod` `pow-prod-down`
7×	`distribute-lft-out--`
6×	`associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `fma-neg` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`sub-neg` `rem-log-exp` `associate-l`
2×	`associate--l-` `flip3-+` `prod-exp` `sum-cubes` `flip-+` `associate--r-` `difference-of-squares`
1×	`diff-log` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

4 → 143

Calls

4 calls:

58.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x))))
34.0ms	(* x (- x 1.0))
32.0ms	(log (+ (pow 1.0 3) (pow x 3)))
35.0ms	(log (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x)))

series818.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x))))
53.0ms	(* x (- x 1.0))
284.0ms	(log (+ (pow 1.0 3) (pow x 3)))
179.0ms	(log (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x)))

simplify1.3s

Counts

155 → 155

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	271	4333
1	597	3439
2	1675	2895
done	5000	2460

prune452.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	39
1	26	39
done	26	39

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.9s	3404×	body	1280	valid
1.3s	2505×	body	640	valid
1.1s	8037×	body	80	nan
427.0ms	1253×	body	320	valid
112.0ms	627×	body	160	valid
22.0ms	211×	body	80	valid