Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	125×	body	80	overflowed

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series55.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
35.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1209	355
3	4128	355
4	5002	355

prune95.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.2b

Counts

52 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
2.6b	(log (+ (exp a) (exp b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (exp a) (exp b))
35.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify57.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	178	383
1	403	359
2	765	354
3	2150	350
4	5001	350

prune114.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0.2b

Counts

60 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (exp a) (exp b)))
0.3b	(cbrt (+ (exp a) (exp b)))
0.5b	(/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b))))
0.6b	(/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`cbrt-prod`
30×	`sqrt-prod`
18×	`cbrt-div`
12×	`associate-/l*`
11×	`add-exp-log`
10×	`associate-/r/`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `pow1/3` `associate-r/` `associate-l/` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

4.0ms	(cbrt (+ (exp a) (exp b)))
4.0ms	(cbrt (+ (exp a) (exp b)))
9.0ms	(/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b))))
15.0ms	(/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (+ (exp a) (exp b)))
59.0ms	(cbrt (+ (exp a) (exp b)))
95.0ms	(/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b))))
139.0ms	(/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	401	1815
1	1263	1686
2	5001	1660

prune341.0ms

Filtered

144 candidates to 101 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Merged error: 0.2b

Counts

147 → 3

localize5.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.2b

Counts

3 → 3

regimes64.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample484.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
94.0ms	3534×	body	80	overflowed

Details

sample19.0ms

simplify4.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series55.0ms

simplify92.0ms

prune95.0ms

localize9.0ms

rewrite17.0ms

series88.0ms

simplify57.0ms

prune114.0ms

localize11.0ms

rewrite37.0ms

series357.0ms

simplify47.0ms

prune341.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample484.0ms

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