Details

sample88.0ms

Algorithm

intervals

Results

48.0ms	115×	body	1280	valid
16.0ms	75×	body	640	valid
6.0ms	45×	body	320	valid
5.0ms	258×	body	80	nan
1.0ms	17×	body	160	valid
0.0ms	4×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.9b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite30.0ms

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:

13.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series190.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
151.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify128.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune168.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

24.0ms

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

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	123	209
1	382	192
2	1701	192
3	5001	192

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.0b	(log (+ 1.0 eps))
5.0b	(log (- 1.0 eps))

rewrite16.0ms

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:

8.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

series356.0ms

Counts

3 → 9

Calls

3 calls:

270.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
40.0ms	(log (+ 1.0 eps))
45.0ms	(log (- 1.0 eps))

simplify78.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	310	433
1	801	413
2	3015	395
3	5001	395

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
172×	`add-sqr-sqrt`
128×	`unpow-prod-down`
107×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
49×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
13×	`add-cbrt-cube`
12×	`pow-to-exp` `pow-exp`
8×	`add-log-exp`
7×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `cbrt-unprod`
3×	`sum-log`
2×	`cbrt-undiv` `flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`
1×	`+-commutative` `associate-+r+`

Counts

3 → 293

Calls

3 calls:

22.0ms	(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
16.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
40.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
102.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
80.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify61.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1232	1877
1	5002	1690

prune749.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	12
1	38	12
2	52	12
3	54	12
4	54	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3450×	body	1280	valid
542.0ms	2535×	body	640	valid
170.0ms	7870×	body	80	nan
153.0ms	1232×	body	320	valid
45.0ms	584×	body	160	valid
7.0ms	199×	body	80	valid