Details

sample137.0ms

Algorithm

intervals

Results

75.0ms	116×	body	1280	valid
22.0ms	66×	body	640	valid
10.0ms	243×	body	80	nan
8.0ms	38×	body	320	valid
3.0ms	26×	body	160	valid
1.0ms	10×	body	80	valid

simplify23.0ms

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite48.0ms

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

series232.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
194.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify907.0ms

Counts

89 → 89

Iterations

Useful iterations: done (903.0ms)

Iter	Nodes	Cost
0	143	1284
1	349	1221
2	1325	1156
done	5002	1154

prune301.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (pow eps 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

25.0ms

(* 2.0 (pow eps 2))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* 2.0 (pow eps 2))

simplify3.3s

Counts

30 → 30

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* eps (- eps 1.0)) (* 1.0 1.0))))
0.0b	(* eps (- eps 1.0))
7.2b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
7.2b	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
108×	`log-prod`
90×	`times-frac`
78×	`add-sqr-sqrt`
54×	`distribute-lft-out`
51×	`associate-+l+`
40×	`unpow-prod-down` `cube-prod`
38×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1`
10×	`add-exp-log` `sum-cubes`
6×	`log-div` `log-pow` `add-cbrt-cube`
5×	`flip3-+` `associate-r` `flip-+`
4×	`associate-/r/` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `associate-l`
2×	`distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`+-commutative` `associate-+l-` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

58.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* eps (- eps 1.0)) (* 1.0 1.0))))
26.0ms	(* eps (- eps 1.0))
30.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
13.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* eps (- eps 1.0)) (* 1.0 1.0))))
76.0ms	(* eps (- eps 1.0))
95.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
79.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))

simplify1.6s

Counts

186 → 186

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	281	3940
1	684	3688
2	2409	3570
done	5000	3567

prune581.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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:

38.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
6.0ms	(log (- 1.0 eps))
5.0ms	(log (+ 1.0 eps))

series560.0ms

Counts

3 → 9

Calls

3 calls:

445.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
64.0ms	(log (- 1.0 eps))
50.0ms	(log (+ 1.0 eps))

simplify829.0ms

Counts

72 → 72

Iterations

Useful iterations: done (826.0ms)

Iter	Nodes	Cost
0	147	823
1	349	756
2	1308	684
done	5002	682

prune151.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes19.0ms

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	18	23
1	22	23
done	22	23

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.3s	3467×	body	1280	valid
867.0ms	2501×	body	640	valid
821.0ms	7917×	body	80	nan
289.0ms	1230×	body	320	valid
74.0ms	616×	body	160	valid
10.0ms	186×	body	80	valid