Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	230×	body	80	valid
4.0ms	26×	body	1280	valid
3.0ms	26×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	5×	body	2560	valid
1.0ms	12×	body	160	valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	22	6
1	65	6
2	175	4
3	402	3
4	919	2
5	2892	2
6	5001	2

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify43.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune32.0ms

Filtered

17 candidates to 29 candidates (-70.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+ (* y x) (* y (neg z)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* y x) (* y (neg z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune23.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0.0b

Counts

20 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.3b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.5b	(sqrt (* y (- x z)))
3.5b	(sqrt (* y (- x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* y (- x z))
12.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- x z))
33.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
15.0ms	(sqrt (* y (- x z)))
15.0ms	(sqrt (* y (- x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	255	518
1	1176	477
2	5001	463

prune86.0ms

Filtered

71 candidates to 121 candidates (-70.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
3.5b	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
3.5b	(sqrt (* y (- x z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
9×	`pow-prod-down`
7×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `pow1/2` `pow1/3` `sqrt-prod` `flip--`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
10.0ms	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
4.0ms	(sqrt (* y (- x z)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
17.0ms	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
15.0ms	(sqrt (* y (- x z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	204	318
1	479	299
2	1480	223
3	5001	221

prune60.0ms

Filtered

50 candidates to 63 candidates (-26.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample959.0ms

Algorithm

intervals

Results

230.0ms	6850×	body	80	valid
150.0ms	1016×	body	1280	valid
118.0ms	978×	body	640	valid
62.0ms	613×	body	320	valid
37.0ms	211×	body	2560	valid
22.0ms	355×	body	160	valid

Details

sample31.0ms

simplify82.0ms

prune7.0ms

localize4.0ms

rewrite6.0ms

series7.0ms

simplify43.0ms

prune32.0ms

localize5.0ms

rewrite4.0ms

series7.0ms

simplify61.0ms

prune23.0ms

localize6.0ms

rewrite30.0ms

series70.0ms

simplify47.0ms

prune86.0ms

localize14.0ms

rewrite17.0ms

series76.0ms

simplify39.0ms

prune60.0ms

regimes136.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample959.0ms

Profiling