Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

293×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune2.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (+ (* x y) x) y)
4.0ms	(+ (* x y) x)

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ (* x y) x) y)
5.0ms	(+ (* x y) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune32.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) x) 3)) y)
0.0b	(+ (* x y) x)
0.1b	(pow (+ (* x y) x) 3)
39.6b	(cbrt (pow (+ (* x y) x) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ (* x y) x) 3)) y)
4.0ms	(+ (* x y) x)
5.0ms	(pow (+ (* x y) x) 3)
5.0ms	(cbrt (pow (+ (* x y) x) 3))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (cbrt (pow (+ (* x y) x) 3)) y)
6.0ms	(+ (* x y) x)
6.0ms	(pow (+ (* x y) x) 3)
5.0ms	(cbrt (pow (+ (* x y) x) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	269	449
1	1286	401
2	5001	384

prune76.0ms

Filtered

50 candidates to 83 candidates (-66.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(sqrt (+ (+ (* x y) x) y))
0.0b	(sqrt (+ (+ (* x y) x) y))
0.2b	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
32×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

3.0ms	(+ (* x y) x)
5.0ms	(sqrt (+ (+ (* x y) x) y))
5.0ms	(sqrt (+ (+ (* x y) x) y))
15.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x y) x)
9.0ms	(sqrt (+ (+ (* x y) x) y))
11.0ms	(sqrt (+ (+ (* x y) x) y))
4.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	288	810
1	1144	734
2	5002	710

prune76.0ms

Filtered

65 candidates to 117 candidates (-80.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes104.0ms

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	8	3
1	8	3

end0.0ms

sample394.0ms

Algorithm

intervals

Results

182.0ms	9128×	body	80	valid
0.0ms	3×	body	640	valid

Details

sample15.0ms

simplify116.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify50.0ms

prune32.0ms

localize8.0ms

rewrite24.0ms

series22.0ms

simplify45.0ms

prune76.0ms

localize7.0ms

rewrite32.0ms

series29.0ms

simplify43.0ms

prune76.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample394.0ms

Profiling