Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	115×	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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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:

7.0ms	(+ (exp a) (exp b))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify87.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

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

prune98.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.5b

Counts

52 → 4

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)))))
1.6b	(- a (log (+ (exp a) (exp b))))
4.3b	(log (+ (exp a) (exp b)))

rewrite24.0ms

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-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`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 → 68

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
6.0ms	(exp (- a (log (+ (exp a) (exp b)))))
7.0ms	(- a (log (+ (exp a) (exp b))))
5.0ms	(log (+ (exp a) (exp b)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
45.0ms	(exp (- a (log (+ (exp a) (exp b)))))
36.0ms	(- a (log (+ (exp a) (exp b))))
33.0ms	(log (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	233	551
1	543	509
2	1225	495
3	4110	491
4	5001	489

prune155.0ms

Filtered

80 candidates to 55 candidates (68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.5b

Counts

84 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(cbrt (pow (+ (exp a) (exp b)) 3))
0.1b	(pow (+ (exp a) (exp b)) 3)
0.7b	(/ (exp a) (cbrt (pow (+ (exp a) (exp b)) 3)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod` `*-un-lft-identity`
51×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-/r*`
13×	`distribute-lft-out`
6×	`add-exp-log` `cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
5×	`pow1`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
6.0ms	(cbrt (pow (+ (exp a) (exp b)) 3))
6.0ms	(pow (+ (exp a) (exp b)) 3)
12.0ms	(/ (exp a) (cbrt (pow (+ (exp a) (exp b)) 3)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
19.0ms	(cbrt (pow (+ (exp a) (exp b)) 3))
30.0ms	(pow (+ (exp a) (exp b)) 3)
36.0ms	(/ (exp a) (cbrt (pow (+ (exp a) (exp b)) 3)))

simplify54.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	342	1449
1	1327	1354
2	5001	1328

prune212.0ms

Filtered

161 candidates to 78 candidates (48.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Merged error: 0.5b

Counts

165 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp a) (exp b)))
0.0b	(sqrt (+ (exp a) (exp b)))
0.5b	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
1.0b	(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite61.0ms

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:

5.0ms	(sqrt (+ (exp a) (exp b)))
5.0ms	(sqrt (+ (exp a) (exp b)))
19.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
9.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ (exp a) (exp b)))
35.0ms	(sqrt (+ (exp a) (exp b)))
36.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
60.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify80.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	689	5914
1	2391	5360
2	5002	5157

prune416.0ms

Filtered

329 candidates to 145 candidates (44.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	329	0	329
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	329	4	333

Merged error: 0.5b

Counts

333 → 4

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample501.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
96.0ms	3516×	body	80	overflowed