Details

sample31.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.99971%

Space saved by search: 99.99971%

Guaranteed chance to sample good point: 100%

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

5.0ms	(+ (+ b c) d)
13.0ms	(* a (+ (+ b c) d))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ b c) d)
9.0ms	(* a (+ (+ b c) d))

simplify31.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	179
1	861	160
2	5001	160

prune37.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.0b	(+ (* a (+ b c)) (* a d))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(* a (+ b c))
6.0ms	(+ (* a (+ b c)) (* a d))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a (+ b c))
10.0ms	(+ (* a (+ b c)) (* a d))

simplify39.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5002	156

prune35.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d))))
0.7b	(cbrt (* a (+ (+ b c) d)))
0.7b	(cbrt (* a (+ (+ b c) d)))
0.7b	(cbrt (* a (+ (+ b c) d)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d))))
6.0ms	(cbrt (* a (+ (+ b c) d)))
6.0ms	(cbrt (* a (+ (+ b c) d)))
7.0ms	(cbrt (* a (+ (+ b c) d)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d))))
33.0ms	(cbrt (* a (+ (+ b c) d)))
36.0ms	(cbrt (* a (+ (+ b c) d)))
33.0ms	(cbrt (* a (+ (+ b c) d)))

simplify93.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	268	754
1	945	689
2	4110	633
3	5002	607

prune82.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes350.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample762.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.99971%

Space saved by search: 99.99971%

Guaranteed chance to sample good point: 100%

Results

303.0ms	8000×	pre	80	true
189.0ms	8000×	body	80	valid

Details

sample31.0ms

simplify8.0ms

prune3.0ms

localize6.0ms

rewrite19.0ms

series14.0ms

simplify31.0ms

prune37.0ms

localize9.0ms

rewrite13.0ms

series16.0ms

simplify39.0ms

prune35.0ms

localize12.0ms

rewrite28.0ms

series149.0ms

simplify93.0ms

prune82.0ms

regimes350.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample762.0ms

Profiling