Details

sample82.0ms

Algorithm

intervals

Results

42.0ms	105×	body	1280	valid
19.0ms	89×	body	640	valid
5.0ms	245×	body	80	nan
5.0ms	37×	body	320	valid
1.0ms	20×	body	160	valid
0.0ms	5×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.9b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
132.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify130.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

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

prune163.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

5.9b

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

5.9b

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

175×	`*-un-lft-identity`
108×	`log-prod`
90×	`times-frac`
71×	`add-sqr-sqrt`
54×	`distribute-lft-out`
51×	`associate-+l+`
40×	`unpow-prod-down` `cube-prod`
35×	`add-cube-cbrt`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`sum-cubes`
9×	`pow1`
7×	`add-exp-log`
6×	`log-div` `log-pow`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-+r+` `rem-log-exp` `add-cbrt-cube` `add-log-exp`
2×	`associate-+r-` `div-inv`
1×	`+-commutative` `associate-+l-` `div-exp` `sum-log`

Counts

3 → 148

Calls

3 calls:

31.0ms

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

6.0ms

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

16.0ms

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series366.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms

(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

71.0ms

(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

76.0ms

(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify62.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	585	2012
1	1757	1948
2	5001	1853

prune338.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
5.9b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.9b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b	(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

139×	`log-prod`
133×	`*-un-lft-identity`
112×	`times-frac`
97×	`add-sqr-sqrt`
70×	`sqrt-prod`
69×	`add-cube-cbrt`
38×	`associate-+r+`
30×	`associate-+l+`
20×	`distribute-lft-out`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1` `add-exp-log`
8×	`associate-/r/`
7×	`log-pow`
6×	`log-div` `flip3-+` `flip-+`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `div-inv` `add-log-exp`
2×	`div-exp`
1×	`+-commutative` `associate-+l-` `associate-+r-` `sum-log`

Counts

4 → 189

Calls

4 calls:

24.0ms	(+ (log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
6.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
6.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
10.0ms	(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

series994.0ms

Counts

4 → 12

Calls

4 calls:

450.0ms	(+ (log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
231.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
73.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
240.0ms	(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	821	3135
1	2622	2989
2	5001	2923

prune571.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes23.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

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	3486×	body	1280	valid
528.0ms	2458×	body	640	valid
166.0ms	8243×	body	80	nan
156.0ms	1242×	body	320	valid
46.0ms	612×	body	160	valid
7.0ms	202×	body	80	valid