Details

sample119.0ms

Algorithm

intervals

Results

54.0ms	98×	body	1280	valid
31.0ms	92×	body	640	valid
8.0ms	229×	body	80	nan
6.0ms	33×	body	320	valid
3.0ms	26×	body	160	valid
0.0ms	7×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 58.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite74.0ms

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:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
32.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series266.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
212.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	143	1284
1	340	1221
2	825	1154
3	1993	1123
done	5001	1108

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune14.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
7.4b	(log (- 1.0 eps))
7.4b	(log (+ 1.0 eps))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`log-prod`
11×	`add-sqr-sqrt`
10×	`pow1`
8×	`distribute-lft-out`
7×	`add-cube-cbrt` `log-pow`
6×	`log-div`
5×	`add-exp-log` `associate-+l+`
4×	`associate-+r+` `distribute-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`add-cbrt-cube`
2×	`associate-+l-` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `neg-log`

Counts

3 → 63

Calls

3 calls:

20.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
5.0ms	(log (- 1.0 eps))
13.0ms	(log (+ 1.0 eps))

series496.0ms

Counts

3 → 9

Calls

3 calls:

345.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
81.0ms	(log (- 1.0 eps))
70.0ms	(log (+ 1.0 eps))

simplify2.3s

Counts

72 → 72

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	147	823
1	339	756
2	869	682
3	2338	674
done	5000	669

prune194.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

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:

51.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
49.0ms	(* (pow (/ eps 1.0) 3) -2/3)

series268.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
111.0ms	(* (pow (/ eps 1.0) 3) -2/3)

simplify1.3s

Counts

149 → 149

Iterations

Useful iterations: 2 (518.0ms)

Iter	Nodes	Cost
0	269	1787
1	627	1563
2	2120	1494
done	5001	1494

prune549.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	3406×	body	1280	valid
901.0ms	2449×	body	640	valid
815.0ms	7970×	body	80	nan
241.0ms	1245×	body	320	valid
122.0ms	683×	body	160	valid
38.0ms	217×	body	80	valid