Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	104×	body	1280	valid
18.0ms	84×	body	640	valid
6.0ms	273×	body	80	nan
5.0ms	41×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 58.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite22.0ms

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

series153.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
118.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (26.0ms)

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

prune181.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
6.1b	(log (- 1.0 eps))
6.2b	(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)))
2.0ms	(log (- 1.0 eps))
5.0ms	(log (+ 1.0 eps))

series340.0ms

Counts

3 → 9

Calls

3 calls:

256.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
45.0ms	(log (- 1.0 eps))
39.0ms	(log (+ 1.0 eps))

simplify79.0ms

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

prune127.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite120.0ms

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:

32.0ms	(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
22.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
50.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
100.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
74.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify49.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1232	1877
1	5002	1690

prune742.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	12
1	38	12
2	50	12
3	54	12
4	54	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3342×	body	1280	valid
567.0ms	2566×	body	640	valid
174.0ms	8122×	body	80	nan
160.0ms	1259×	body	320	valid
48.0ms	633×	body	160	valid
7.0ms	200×	body	80	valid