Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	112×	body	1280	valid
14.0ms	70×	body	640	valid
8.0ms	283×	body	80	nan
5.0ms	43×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	9×	body	80	valid

simplify6.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

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)))

rewrite32.0ms

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:

20.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
120.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify131.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (23.0ms)

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

prune175.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

52.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	84	100
1	296	90
2	1150	88
3	5002	87

prune51.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
2.9b	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `exp-prod` `exp-sum` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `log-div` `flip3-+` `exp-diff` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `log-pow` `rem-exp-log`

Counts

2 → 30

Calls

2 calls:

53.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
38.0ms	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
73.0ms	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify44.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	124	246
1	375	226
2	1264	213
3	5001	205

prune98.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
3.2b	(pow E (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `unpow-prod-up` `pow-unpow` `log-prod` `add-log-exp`
3×	`add-exp-log` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow-exp` `add-cbrt-cube` `flip-+` `distribute-lft-out` `pow-sub`
1×	`+-commutative` `pow-to-exp` `e-exp-1` `pow-pow` `sum-log` `log-pow` `sqr-pow`

Counts

2 → 37

Calls

2 calls:

55.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
38.0ms	(pow E (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
136.0ms	(pow E (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify125.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	280	430
1	1014	405
2	4381	370
3	5001	370

prune117.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes98.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3431×	body	1280	valid
532.0ms	2548×	body	640	valid
160.0ms	8109×	body	80	nan
143.0ms	1199×	body	320	valid
44.0ms	614×	body	160	valid
7.0ms	208×	body	80	valid