Details

sample115.0ms

Algorithm

intervals

Results

50.0ms	111×	body	1280	valid
36.0ms	86×	body	640	valid
8.0ms	284×	body	80	nan
5.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite38.0ms

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:

24.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series170.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
133.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Counts: 89 → 89

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

140.0ms

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

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify52.0ms

Counts: 23 → 23

prune58.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
74×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
28×	`difference-of-squares`
22×	`distribute-lft-out--`
18×	`cbrt-div` `swap-sqr`
15×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `flip--`
7×	`unpow-prod-down` `unpow2` `sqr-pow`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 129

Calls

4 calls:

1.0s	(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
124.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
125.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
134.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
310.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
302.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
309.0ms	(cbrt (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify132.0ms

Counts: 141 → 141

prune418.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

4.9b	(log (- 1.0 eps))
5.1b	(log (+ 1.0 eps))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(log (- 1.0 eps))
51.0ms	(log (+ 1.0 eps))

simplify45.0ms

Counts: 37 → 37

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes45.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s	3434×	body	1280	valid
682.0ms	2483×	body	640	valid
358.0ms	8241×	body	80	nan
218.0ms	1214×	body	320	valid
61.0ms	662×	body	160	valid
9.0ms	207×	body	80	valid