Details

analyze81.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	17×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune4.0ms

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: 0.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite13.0ms

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)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4961	546
1	4961	546

prune65.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.2b

Counts

52 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
5.0ms	(exp (- a (log (+ (exp a) (exp b)))))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
11.0ms	(exp (- a (log (+ (exp a) (exp b)))))
9.0ms	(- a (log (+ (exp a) (exp b))))
10.0ms	(log (+ (exp a) (exp b)))

simplify60.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4898	734
1	4898	734

prune92.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.2b

Counts

84 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp a) (exp b)))
0.0b	(sqrt (+ (exp a) (exp b)))
0.3b	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
0.8b	(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
192×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
10×	`div-inv`
9×	`add-exp-log`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 317

Calls

4 calls:

4.0ms	(sqrt (+ (exp a) (exp b)))
4.0ms	(sqrt (+ (exp a) (exp b)))
19.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
8.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (+ (exp a) (exp b)))
9.0ms	(sqrt (+ (exp a) (exp b)))
11.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
17.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify124.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4966	6657
1	4966	6657

prune181.0ms

Filtered

137 candidates to 329 candidates (-140.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	329	0	329
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	329	6	335

Merged error: 0.2b

Counts

335 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.4b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

7.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
4.0ms	(+ (exp a) (exp b))
8.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
5.0ms	(+ (exp a) (exp b))
11.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5258	1153

prune114.0ms

Filtered

79 candidates to 113 candidates (-43.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	2	0	2
Picked	1	0	1
Done	0	3	3
Total	114	5	119

Merged error: 0.2b

Counts

119 → 5

regimes328.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample385.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
16.0ms	656×	body	80	overflowed

Details

analyze81.0ms

sample16.0ms

simplify3.0ms

prune4.0ms

localize6.0ms

rewrite13.0ms

series17.0ms

simplify63.0ms

prune65.0ms

localize9.0ms

rewrite22.0ms

series35.0ms

simplify60.0ms

prune92.0ms

localize9.0ms

rewrite58.0ms

series46.0ms

simplify124.0ms

prune181.0ms

localize9.0ms

rewrite29.0ms

series42.0ms

simplify58.0ms

prune114.0ms

regimes328.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample385.0ms

Profiling