Details

sample56.0ms

Algorithm

intervals

Results

40.0ms	107×	body	10240	exit
6.0ms	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

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: 0.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
31.0ms	(/ (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	1239	355
3	4158	355
4	5001	355

prune83.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0.1b

Counts

52 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.6b	(- a (log (+ (exp a) (exp b))))
1.6b	(log (+ (exp a) (exp b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

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

series87.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (exp a) (exp b))
32.0ms	(- a (log (+ (exp a) (exp b))))
36.0ms	(log (+ (exp a) (exp b)))

simplify56.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	178	383
1	403	359
2	765	354
3	2150	350
4	5001	350

prune119.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	57	2	59

Merged error: 0.1b

Counts

59 → 2

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	(/ (exp a) (+ (exp b) (exp a)))
0.5b	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))

rewrite35.0ms

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))
9.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
7.0ms	(/ (exp a) (+ (exp b) (exp a)))
9.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))

series141.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp b) (exp a))
54.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
32.0ms	(/ (exp a) (+ (exp b) (exp a)))
37.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (43.0ms)

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

prune217.0ms

Filtered

165 candidates to 82 candidates (49.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0.1b

Counts

167 → 2

regimes56.0ms

Accuracy

0% (0.0b 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

sample1.6s

Algorithm

intervals

Results

1.2s	3411×	body	10240	exit
187.0ms	8000×	body	80	valid