Details

sample54.0ms

Algorithm

intervals

Results

38.0ms	89×	body	10240	exit
5.0ms	256×	body	80	valid

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

9.0ms	(+ (exp a) (exp b))
22.0ms	(/ (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)))

simplify91.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1239	355
3	4158	355
4	5001	355

prune115.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.5b	(/ (+ (exp a) (exp b)) (exp a))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
95×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 133

Calls

3 calls:

9.0ms	(+ (exp a) (exp b))
26.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
29.0ms	(/ (+ (exp a) (exp b)) (exp a))

series92.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (exp a) (exp b))
40.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
32.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify44.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	399	1420
1	1666	1284
2	5001	1184

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ 1 (sqrt (+ (exp a) (exp b))))
0.4b	(/ (sqrt (+ (exp a) (exp b))) (exp a))
0.5b	(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

1851×	`times-frac`
1134×	`*-un-lft-identity`
792×	`add-sqr-sqrt` `add-cube-cbrt`
680×	`sqrt-prod`
171×	`distribute-lft-out`
57×	`div-inv`
56×	`sqrt-div`
55×	`associate-/r/`
37×	`associate-/l*`
35×	`associate-/r*`
29×	`flip3-+` `flip-+`
27×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`pow1` `add-log-exp`
3×	`rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `sqrt-pow1` `pow1/2` `sum-log` `inv-pow`

Counts

4 → 859

Calls

4 calls:

10.0ms	(+ (exp a) (exp b))
19.0ms	(/ 1 (sqrt (+ (exp a) (exp b))))
26.0ms	(/ (sqrt (+ (exp a) (exp b))) (exp a))
71.0ms	(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp a) (exp b))
46.0ms	(/ 1 (sqrt (+ (exp a) (exp b))))
64.0ms	(/ (sqrt (+ (exp a) (exp b))) (exp a))
35.0ms	(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))

simplify176.0ms

Algorithm

egg-herbie

Counts

871 → 871

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2525	20613
1	5001	18941

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.1b	(log (pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a)))
0.3b	(pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
19×	`pow-pow`
18×	`exp-prod`
9×	`add-exp-log`
8×	`distribute-lft-out`
7×	`log-prod`
6×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `rem-log-exp` `flip-+` `associate-/l*`
2×	`pow-to-exp` `div-exp` `pow-exp` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `sum-log` `log-pow` `inv-pow`

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (exp a) (exp b))
18.0ms	(/ 1 (+ (exp a) (exp b)))
21.0ms	(log (pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a)))
42.0ms	(pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a))

series194.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp a) (exp b))
27.0ms	(/ 1 (+ (exp a) (exp b)))
75.0ms	(log (pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a)))
71.0ms	(pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a))

simplify106.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	305	875
1	1162	785
2	3698	742
3	5002	730

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3319×	body	10240	exit
179.0ms	8000×	body	80	valid