Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	104×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite15.0ms

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:

8.0ms	(+ (exp a) (exp b))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (exp a) (exp b))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

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

prune50.0ms

Filtered

51 candidates to 37 candidates (27.5%)

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: 0.7b

Counts

52 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.5b	(- a (log (+ (exp a) (exp b))))
2.8b	(log (+ (exp a) (exp b)))

rewrite16.0ms

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)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

simplify65.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (26.0ms)

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

prune64.0ms

Filtered

57 candidates to 41 candidates (28.1%)

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: 0.7b

Counts

60 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(sqrt (exp a))
0.7b	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
0.7b	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
52×	`times-frac`
42×	`add-cube-cbrt`
41×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-l` `associate-/l*` `unswap-sqr`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `flip3-+` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 136

Calls

4 calls:

2.0ms	(sqrt (exp a))
2.0ms	(sqrt (exp a))
19.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
7.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp a))
3.0ms	(sqrt (exp a))
11.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
15.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	316	1296
1	1379	1168
2	5002	1127

prune95.0ms

Filtered

148 candidates to 91 candidates (38.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Merged error: 0.7b

Counts

151 → 3

localize4.0ms

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: 0.7b

Counts

3 → 3

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample637.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
101.0ms	3284×	body	80	overflowed

Details

sample23.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite15.0ms

series16.0ms

simplify89.0ms

prune50.0ms

localize9.0ms

rewrite16.0ms

series22.0ms

simplify65.0ms

prune64.0ms

localize8.0ms

rewrite35.0ms

series31.0ms

simplify50.0ms

prune95.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes140.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample637.0ms

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