Details

sample110.0ms

Algorithm

intervals

Results

57.0ms	118×	body	1280	valid
19.0ms	70×	body	640	valid
8.0ms	267×	body	80	nan
8.0ms	46×	body	320	valid
2.0ms	17×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite75.0ms

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:

49.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
18.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series252.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
210.0ms	(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

prune285.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

series400.0ms

Counts

1 → 3

Calls

1 calls:

400.0ms

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

simplify8.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

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

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(* (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
60×	`times-frac`
52×	`log-prod`
43×	`add-cube-cbrt`
27×	`pow1`
26×	`sqrt-prod`
16×	`distribute-lft-out`
14×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
11×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2` `log-pow` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`associate-/r/`
5×	`pow-prod-up` `associate-/l*`
4×	`expm1-log1p-u` `rem-log-exp` `associate-/r*` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `div-exp` `pow-prod-down` `pow-sqr` `flip-+` `div-inv`
2×	`log-div` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 182

Calls

4 calls:

25.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
38.0ms	(* (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))))
13.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
144.0ms	(* (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))))
127.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
178.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify981.0ms

Counts

194 → 194

Iterations

Useful iterations: done (975.0ms)

Iter	Nodes	Cost
0	191	3316
1	457	2632
2	1716	2452
done	5000	2414

prune440.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))
5.7b	(+ (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))))
7.7b	(log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)))
7.8b	(log (+ (sqrt 1.0) (sqrt eps)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

170×	`*-un-lft-identity`
154×	`add-sqr-sqrt`
108×	`times-frac`
94×	`log-prod`
82×	`sqrt-prod`
52×	`difference-of-squares`
50×	`add-cube-cbrt`
42×	`associate-+r+`
36×	`distribute-lft-out`
26×	`distribute-lft-out--`
11×	`pow1`
10×	`add-exp-log`
9×	`associate-/l*`
7×	`log-pow`
6×	`log-div` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `div-inv`
2×	`associate-+l-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `div-sub` `clear-num` `sum-log` `flip--`

Counts

4 → 212

Calls

4 calls:

49.0ms	(/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))
36.0ms	(+ (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))))
14.0ms	(log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)))
9.0ms	(log (+ (sqrt 1.0) (sqrt eps)))

series1.3s

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))
565.0ms	(+ (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))))
411.0ms	(log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)))
203.0ms	(log (+ (sqrt 1.0) (sqrt eps)))

simplify1.7s

Counts

224 → 224

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	329	4646
1	893	4327
2	3878	4119
done	5000	4113

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes75.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
done	11	18

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.4s	3344×	body	1280	valid
963.0ms	2494×	body	640	valid
324.0ms	8113×	body	80	nan
243.0ms	1284×	body	320	valid
96.0ms	646×	body	160	valid
12.0ms	232×	body	80	valid