Details

sample91.0ms

Algorithm

intervals

Results

52.0ms	114×	body	1280	valid
17.0ms	75×	body	640	valid
5.0ms	232×	body	80	nan
4.0ms	29×	body	320	valid
2.0ms	29×	body	160	valid
0.0ms	9×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

11.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: 3 (387.0ms)

Iter	Nodes	Cost
0	143	1284
1	336	1221
2	817	1154
3	2212	1123
done	5000	1123

prune183.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune15.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
7.3b	(log (+ 1.0 eps))
7.3b	(log (- 1.0 eps))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
2.0ms	(log (+ 1.0 eps))
2.0ms	(log (- 1.0 eps))

series349.0ms

Counts

3 → 9

Calls

3 calls:

262.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
44.0ms	(log (+ 1.0 eps))
42.0ms	(log (- 1.0 eps))

simplify812.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (328.0ms)

Iter	Nodes	Cost
0	142	811
1	311	766
2	742	705
3	2396	703
done	5000	703

prune132.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.2b	(* (pow (/ eps 1.0) 3) -2/3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
78×	`times-frac`
63×	`unpow-prod-down`
56×	`associate-r`
48×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-l`
33×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp`
9×	`add-cbrt-cube`
8×	`pow-exp`
7×	`pow-to-exp`
4×	`pow1`
3×	`cbrt-unprod` `div-inv`
2×	`*-commutative` `add-log-exp`
1×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `associate-r/` `pow-prod-down` `associate-l/`

Counts

2 → 143

Calls

2 calls:

26.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
20.0ms	(* (pow (/ eps 1.0) 3) -2/3)

series178.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
77.0ms	(* (pow (/ eps 1.0) 3) -2/3)

simplify658.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (285.0ms)

Iter	Nodes	Cost
0	269	1787
1	668	1567
2	2154	1494
done	5000	1494

prune390.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	20	21
done	20	21

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
565.0ms	2507×	body	640	valid
184.0ms	8120×	body	80	nan
161.0ms	1225×	body	320	valid
48.0ms	599×	body	160	valid
8.0ms	217×	body	80	valid