Details

analyze79.0ms

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

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	27×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune6.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (exp a) (exp b))
12.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4961	546
1	4961	546

prune51.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`add-sqr-sqrt` `times-frac`
62×	`add-cube-cbrt`
29×	`swap-sqr`
27×	`distribute-lft-out`
21×	`associate-r` `associate-l`
19×	`pow1`
12×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow-prod-up`
4×	`sqrt-div`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 186

Calls

4 calls:

6.0ms	(+ (exp a) (exp b))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))
23.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4961	2568
1	4961	2568

prune161.0ms

Filtered

118 candidates to 198 candidates (-67.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	198	3	201

Merged error: 0b

Counts

201 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

13.0ms	(/ (cbrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
4.0ms	(cbrt (+ (exp a) (exp b)))
4.0ms	(cbrt (+ (exp a) (exp b)))
4.0ms	(cbrt (+ (exp a) (exp b)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (cbrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
14.0ms	(cbrt (+ (exp a) (exp b)))
16.0ms	(cbrt (+ (exp a) (exp b)))
14.0ms	(cbrt (+ (exp a) (exp b)))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5033	1107

prune95.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms

sample383.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	80	valid
19.0ms	671×	body	80	overflowed

Details

analyze79.0ms

sample15.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify58.0ms

prune51.0ms

localize8.0ms

rewrite50.0ms

series38.0ms

simplify70.0ms

prune161.0ms

localize13.0ms

rewrite27.0ms

series105.0ms

simplify52.0ms

prune95.0ms

regimes193.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample383.0ms

Profiling