Details

sample171.0ms

Algorithm

intervals

Results

80.0ms	99×	body	1280	valid
36.0ms	84×	body	640	valid
12.0ms	247×	body	80	nan
11.0ms	41×	body	320	valid
4.0ms	27×	body	160	valid
0.0ms	5×	body	80	valid

simplify10.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite73.0ms

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×	`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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

54.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
14.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
177.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1318
1	365	1247
2	1400	1186
done	5000	1183

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 2.0 (pow eps 2) (log 1.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 2.0 (pow eps 2) (log 1.0))

series404.0ms

Counts

1 → 3

Calls

1 calls:

404.0ms

(fma 2.0 (pow eps 2) (log 1.0))

simplify7.9s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	18	125
1	29	122
2	89	108
3	343	108
4	2467	108
done	5000	108

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2.0 (pow eps 2) (log 1.0))
3.4b	(log (exp (fma 2.0 (pow eps 2) (log 1.0))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `log-pow`
3×	`pow1` `exp-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`
1×	`rem-log-exp` `exp-sum`

Counts

2 → 28

Calls

2 calls:

0.0ms	(fma 2.0 (pow eps 2) (log 1.0))
3.0ms	(log (exp (fma 2.0 (pow eps 2) (log 1.0))))

series749.0ms

Counts

2 → 6

Calls

2 calls:

357.0ms	(fma 2.0 (pow eps 2) (log 1.0))
392.0ms	(log (exp (fma 2.0 (pow eps 2) (log 1.0))))

simplify885.0ms

Counts

34 → 34

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	46	382
1	69	337
2	202	301
3	995	301
done	5000	301

prune171.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
6.7b	(log (- 1.0 eps))
6.7b	(log (+ 1.0 eps))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `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 → 87

Calls

3 calls:

19.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
8.0ms	(log (- 1.0 eps))
9.0ms	(log (+ 1.0 eps))

series512.0ms

Counts

3 → 9

Calls

3 calls:

409.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
54.0ms	(log (- 1.0 eps))
48.0ms	(log (+ 1.0 eps))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	168	1543
1	396	1258
2	1482	1051
done	5001	929

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	18	22
done	18	22

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	3440×	body	1280	valid
813.0ms	2472×	body	640	valid
377.0ms	7890×	body	80	nan
260.0ms	1248×	body	320	valid
70.0ms	646×	body	160	valid
14.0ms	194×	body	80	valid