Details

sample105.0ms

Algorithm

intervals

Results

49.0ms	98×	body	1280	valid
26.0ms	92×	body	640	valid
7.0ms	229×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	26×	body	160	valid
0.0ms	7×	body	80	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize20.0ms

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)))

rewrite53.0ms

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:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
14.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series174.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
141.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify67.0ms

Counts: 89 → 89

prune269.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
8×	`add-sqr-sqrt`
4×	`difference-of-squares`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `unpow2` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

180.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))
95.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)

series212.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))
90.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)

simplify45.0ms

Counts: 38 → 38

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `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 → 61

Calls

3 calls:

30.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
13.0ms	(log (- 1.0 eps))
7.0ms	(log (+ 1.0 eps))

series394.0ms

Counts

3 → 9

Calls

3 calls:

298.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
51.0ms	(log (- 1.0 eps))
44.0ms	(log (+ 1.0 eps))

simplify51.0ms

Counts: 70 → 70

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
171×	`add-sqr-sqrt`
128×	`unpow-prod-down`
106×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
48×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
12×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`cbrt-unprod`
2×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 278

Calls

2 calls:

48.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
95.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series261.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
103.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify93.0ms

Counts: 284 → 284

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify108.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.4s	3406×	body	1280	valid
783.0ms	2449×	body	640	valid
287.0ms	1245×	body	320	valid
282.0ms	7970×	body	80	nan
71.0ms	683×	body	160	valid
10.0ms	217×	body	80	valid