Details

analyze63.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.831177%

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	14	3
2	17	3
3	18	3
4	18	3

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: 0.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (* x 100.0) (+ x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/ (* x 100.0) (+ x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (* x 100.0) (+ x y))

simplify65.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	152	122
1	703	102
2	3131	102
3	5001	102

prune46.0ms

Filtered

19 candidates to 28 candidates (-47.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Merged error: 0b

Counts

29 → 7

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) 100.0)
0.2b	(/ x (/ (+ x y) 100.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 115

Calls

2 calls:

5.0ms	(/ (+ x y) 100.0)
7.0ms	(/ x (/ (+ x y) 100.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (+ x y) 100.0)
6.0ms	(/ x (/ (+ x y) 100.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	379	794
1	1592	758
2	5001	757

prune121.0ms

Filtered

84 candidates to 121 candidates (-44.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (/ 1 100.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

585×	`times-frac`
348×	`*-un-lft-identity`
256×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`distribute-lft-out`
35×	`div-inv`
31×	`associate-/r/`
26×	`add-exp-log`
21×	`associate-/l*`
17×	`div-exp` `associate-/r*`
16×	`add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
2×	`pow1` `rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 322

Calls

2 calls:

5.0ms	(/ x (+ x y))
14.0ms	(/ (/ x (+ x y)) (/ 1 100.0))

series17.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x (+ x y))
11.0ms	(/ (/ x (+ x y)) (/ 1 100.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

328 → 328

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1428	3465
1	5001	3075

prune267.0ms

Filtered

169 candidates to 328 candidates (-94.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	328	0	328
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	328	6	334

Merged error: 0b

Counts

334 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* (/ x (+ x y)) 100.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ x (+ x y))
8.0ms	(* (/ x (+ x y)) 100.0)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x (+ x y))
6.0ms	(* (/ x (+ x y)) 100.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	235	331
1	900	302
2	3097	301
3	5001	301

prune54.0ms

Filtered

51 candidates to 76 candidates (-49.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	76	6	82

Merged error: 0b

Counts

82 → 6

regimes122.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

analyze61.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.831177%

sample307.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid

Details

analyze63.0ms

sample12.0ms

simplify6.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series6.0ms

simplify65.0ms

prune46.0ms

localize4.0ms

rewrite18.0ms

series11.0ms

simplify45.0ms

prune121.0ms

localize5.0ms

rewrite41.0ms

series17.0ms

simplify65.0ms

prune267.0ms

localize4.0ms

rewrite15.0ms

series12.0ms

simplify70.0ms

prune54.0ms

regimes122.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze61.0ms

sample307.0ms

Profiling