Details

analyze279.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

simplify93.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune49.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (+ (* y z) (* y x)))
0.0b	(+ (* y z) (* 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-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+ x (+ (* y z) (* y x)))
3.0ms	(+ (* y z) (* y x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (+ (* y z) (* y x)))
6.0ms	(+ (* y z) (* y x))

simplify80.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	171	168
1	679	149
2	2849	147
3	5001	147

prune37.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
23.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune71.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ z x)) (cbrt (+ z x)))
0.6b	(cbrt (+ z x))
0.6b	(cbrt (+ z x))
0.6b	(cbrt (+ z x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))
3.0ms	(cbrt (+ z x))

series128.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
29.0ms	(cbrt (+ z x))
31.0ms	(cbrt (+ z x))
29.0ms	(cbrt (+ z x))

simplify124.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	285	746
1	850	709
2	3884	634
3	5001	621

prune98.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes205.0ms

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	9	3
1	9	3

end0.0ms

analyze266.0ms

Algorithm: search

sample394.0ms

Algorithm

intervals

Results

197.0ms	8000×	body	80	valid
14.0ms	592×	body	80	invalid

Details

analyze279.0ms

sample15.0ms

simplify117.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series12.0ms

simplify93.0ms

prune49.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify80.0ms

prune37.0ms

localize9.0ms

rewrite11.0ms

series90.0ms

simplify72.0ms

prune71.0ms

localize9.0ms

rewrite21.0ms

series128.0ms

simplify124.0ms

prune98.0ms

regimes205.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze266.0ms

sample394.0ms

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