Details

sample98.0ms

Algorithm

intervals

Results

47.0ms	95×	body	1280	valid
22.0ms	90×	body	640	valid
7.0ms	46×	body	320	valid
6.0ms	230×	body	80	nan
1.0ms	16×	body	160	valid
0.0ms	9×	body	80	valid

simplify20.0ms

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: 58.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite62.0ms

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:

40.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
19.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
162.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify975.0ms

Counts

93 → 93

Iterations

Useful iterations: done (972.0ms)

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

prune277.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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:

0.0ms

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

series373.0ms

Counts

1 → 3

Calls

1 calls:

373.0ms

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

simplify7.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (19.0ms)

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

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 eps))
0.0b	(sqrt (- 1.0 eps))
5.2b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.3b	(log (sqrt (- 1.0 eps)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
46×	`log-prod`
41×	`add-sqr-sqrt`
35×	`sqrt-prod`
32×	`times-frac`
25×	`add-cube-cbrt`
9×	`pow1`
8×	`add-exp-log` `distribute-lft-out`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`sqrt-div`
4×	`expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `sqrt-pow1` `pow1/2` `rem-log-exp` `flip--`
2×	`rem-sqrt-square` `associate-/r/`
1×	`flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 112

Calls

4 calls:

12.0ms	(sqrt (- 1.0 eps))
10.0ms	(sqrt (- 1.0 eps))
18.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
7.0ms	(log (sqrt (- 1.0 eps)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (- 1.0 eps))
33.0ms	(sqrt (- 1.0 eps))
319.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
124.0ms	(log (sqrt (- 1.0 eps)))

simplify1.2s

Counts

124 → 124

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	227	1738
1	474	1586
2	1572	1478
done	5001	1445

prune473.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
0.0b	(sqrt (- 1.0 eps))
5.2b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.3b	(log (- 1.0 eps))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
64×	`times-frac`
50×	`sqrt-prod`
43×	`log-prod`
42×	`add-cube-cbrt`
17×	`distribute-lft-out`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`pow1`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `rem-log-exp` `flip--`
2×	`flip3-+` `div-exp` `log-pow` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 150

Calls

4 calls:

36.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
18.0ms	(sqrt (- 1.0 eps))
22.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
12.0ms	(log (- 1.0 eps))

series537.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
32.0ms	(sqrt (- 1.0 eps))
306.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
49.0ms	(log (- 1.0 eps))

simplify1.9s

Counts

162 → 162

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	265	2495
1	611	2291
2	2374	2177
done	5001	2172

prune446.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes46.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
done	11	18

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.8s	3380×	body	1280	valid
1.1s	2541×	body	640	valid
449.0ms	1241×	body	320	valid
367.0ms	8027×	body	80	nan
90.0ms	637×	body	160	valid
12.0ms	201×	body	80	valid