Details

analyze4.0ms

Algorithm: search

sample68.0ms

Algorithm

intervals

Results

36.0ms	113×	body	1280	valid
14.0ms	73×	body	640	valid
9.0ms	36×	body	320	valid
2.0ms	28×	body	160	valid
0.0ms	6×	body	80	valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	243	5
8	1563	5
9	5001	5

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 57.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.8b	(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(- (exp x) (exp (neg x)))

simplify30.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	100	120
1	257	106
2	785	105
3	5001	103

prune40.0ms

Filtered

14 candidates to 17 candidates (-21.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify183.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	208	209
1	871	193
2	4636	193
3	5001	193

prune95.0ms

Filtered

38 candidates to 62 candidates (-63.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
3.5b	(log (exp (* 1/3 (pow x 3))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `add-log-exp` `sqr-pow`
3×	`log-prod` `log-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `exp-prod` `exp-to-pow` `unpow3` `rem-log-exp`

Counts

3 → 70

Calls

3 calls:

5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))
2.0ms	(log (exp (* 1/3 (pow x 3))))

series13.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))
4.0ms	(log (exp (* 1/3 (pow x 3))))

simplify188.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	226	274
1	897	249
2	4691	249
3	5001	249

prune135.0ms

Filtered

49 candidates to 79 candidates (-61.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0b

Counts

82 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(exp (log (- (exp x) (exp (neg x)))))
6.8b	(- (exp x) (exp (neg x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`log-prod` `exp-sum`
4×	`add-cube-cbrt` `exp-prod` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 33

Calls

2 calls:

8.0ms	(exp (log (- (exp x) (exp (neg x)))))
5.0ms	(- (exp x) (exp (neg x)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(exp (log (- (exp x) (exp (neg x)))))
5.0ms	(- (exp x) (exp (neg x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	143	280
1	318	254
2	922	243
3	5001	233

prune37.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	39	3	42

Merged error: 0b

Counts

42 → 3

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

analyze4.0ms

Algorithm: search

sample1.8s

Algorithm

intervals

Results

1.1s	3416×	body	1280	valid
458.0ms	2440×	body	640	valid
148.0ms	1243×	body	320	valid
46.0ms	622×	body	160	valid
10.0ms	279×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample68.0ms

simplify128.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series6.0ms

simplify30.0ms

prune40.0ms

localize11.0ms

rewrite13.0ms

series9.0ms

simplify183.0ms

prune95.0ms

localize14.0ms

rewrite15.0ms

series13.0ms

simplify188.0ms

prune135.0ms

localize8.0ms

rewrite14.0ms

series10.0ms

simplify34.0ms

prune37.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample1.8s

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