Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 68.844604%

Results

7.0ms	256×	body	80	valid
3.0ms	111×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune3.0ms

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: 0.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (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)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (exp a) (exp b))
13.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1209	355
3	4128	355
4	5002	355

prune57.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

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: 0.4b

Counts

52 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.7b	(- a (log (+ (exp a) (exp b))))
3.1b	(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-+` `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:

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)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (exp a) (exp b))
12.0ms	(exp (- a (log (+ (exp a) (exp b)))))
9.0ms	(- a (log (+ (exp a) (exp b))))
11.0ms	(log (+ (exp a) (exp b)))

simplify86.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	233	551
1	545	511
2	1232	496
3	4120	490
4	5001	488

prune85.0ms

Filtered

55 candidates to 80 candidates (-45.5%)

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: 0.4b

Counts

84 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(sqrt (exp a))
0.5b	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
0.7b	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
52×	`times-frac`
42×	`add-cube-cbrt`
41×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-l` `associate-/l*` `unswap-sqr`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `flip3-+` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 136

Calls

4 calls:

2.0ms	(sqrt (exp a))
2.0ms	(sqrt (exp a))
18.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
8.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp a))
3.0ms	(sqrt (exp a))
12.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
17.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

simplify54.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	316	1296
1	1379	1168
2	5002	1127

prune100.0ms

Filtered

91 candidates to 148 candidates (-62.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	148	4	152

Merged error: 0.4b

Counts

152 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp a) (+ a (+ b 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*`
3×	`add-cbrt-cube` `associate-/l*`
2×	`add-exp-log` `associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

7.0ms

(/ (exp a) (+ a (+ b 2)))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(/ (exp a) (+ a (+ b 2)))

simplify40.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	149	274
1	476	256
2	1808	255
3	5001	255

prune35.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.4b

Counts

44 → 4

regimes164.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

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

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 68.844604%

Results

235.0ms	8000×	body	80	valid
97.0ms	3457×	body	80	overflowed

Details

sample1.1s

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series18.0ms

simplify92.0ms

prune57.0ms

localize11.0ms

rewrite22.0ms

series37.0ms

simplify86.0ms

prune85.0ms

localize8.0ms

rewrite35.0ms

series35.0ms

simplify54.0ms

prune100.0ms

localize6.0ms

rewrite9.0ms

series16.0ms

simplify40.0ms

prune35.0ms

regimes164.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling