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	103×	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

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: 0.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (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)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify92.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

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: 0.6b

Counts

52 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
3.1b	(log (+ (exp a) (exp b)))

rewrite21.0ms

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (- a (log (+ (exp a) (exp b)))))
5.0ms	(+ (exp a) (exp b))
9.0ms	(- a (log (+ (exp a) (exp b))))
10.0ms	(log (+ (exp a) (exp b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (84.0ms)

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

prune83.0ms

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: 0.6b

Counts

84 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.5b	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
0.8b	(/ (exp a) (+ (exp b) (exp a)))

rewrite33.0ms

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))
8.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
8.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
7.0ms	(/ (exp a) (+ (exp b) (exp a)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (exp b) (exp a))
22.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
11.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
11.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (43.0ms)

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

prune119.0ms

Filtered

82 candidates to 165 candidates (-101.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	164	5	169

Merged error: 0.5b

Counts

169 → 5

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:

8.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (13.0ms)

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

prune37.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	40	5	45

Merged error: 0.5b

Counts

45 → 5

regimes168.0ms

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	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

220.0ms	8000×	body	80	valid
93.0ms	3469×	body	80	overflowed

Details

sample1.1s

simplify4.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series17.0ms

simplify92.0ms

prune57.0ms

localize11.0ms

rewrite21.0ms

series35.0ms

simplify91.0ms

prune83.0ms

localize9.0ms

rewrite33.0ms

series50.0ms

simplify59.0ms

prune119.0ms

localize6.0ms

rewrite9.0ms

series14.0ms

simplify44.0ms

prune37.0ms

regimes168.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling