Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	108×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	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: 1.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (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)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify90.0ms

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

prune53.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0.7b

Counts

52 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.4b	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
1.0b	(/ (exp a) (+ (exp b) (exp a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
60×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
4×	`associate-/r*`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 153

Calls

4 calls:

4.0ms	(+ (exp b) (exp a))
8.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
8.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
7.0ms	(/ (exp a) (+ (exp b) (exp a)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp b) (exp a))
19.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
11.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
11.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	433	1586
1	1879	1472
2	5001	1455

prune121.0ms

Filtered

82 candidates to 165 candidates (-101.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	164	5	169

Merged error: 0.6b

Counts

169 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp a) (+ a (+ b 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

7.0ms

(/ (exp a) (+ a (+ b 2)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(/ (exp a) (+ a (+ b 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	149	274
1	476	256
2	1808	255
3	5001	255

prune42.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	40	5	45

Merged error: 0.6b

Counts

45 → 5

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

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 0.6b

Counts

5 → 5

regimes217.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample632.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
93.0ms	3281×	body	80	overflowed

Details

sample22.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series16.0ms

simplify90.0ms

prune53.0ms

localize8.0ms

rewrite32.0ms

series48.0ms

simplify57.0ms

prune121.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify43.0ms

prune42.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes217.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample632.0ms

Profiling