Details

analyze270.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	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 x) z))
0.0b	(* (- y x) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* (- y x) z))
6.0ms	(* (- y x) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune43.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

12.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series108.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
25.0ms	(cbrt (- y x))
25.0ms	(cbrt (- y x))
26.0ms	(cbrt (- y x))

simplify117.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	287	793
1	868	756
2	3986	674
3	5001	652

prune113.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0b

Counts

117 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
23.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (65.0ms)

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

prune78.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt (cbrt z))
4.0ms	(cbrt (* (cbrt z) (cbrt z)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
22.0ms	(cbrt z)
32.0ms	(cbrt (cbrt z))
35.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify200.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	147	266
1	289	242
2	847	200
3	4355	187
4	5001	187

prune61.0ms

Filtered

45 candidates to 57 candidates (-26.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	57	6	63

Merged error: 0b

Counts

63 → 6

regimes231.0ms

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

analyze269.0ms

Algorithm: search

sample381.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
12.0ms	536×	body	80	invalid

Details

analyze270.0ms

sample16.0ms

simplify78.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify62.0ms

prune43.0ms

localize9.0ms

rewrite24.0ms

series108.0ms

simplify117.0ms

prune113.0ms

localize9.0ms

rewrite10.0ms

series91.0ms

simplify71.0ms

prune78.0ms

localize13.0ms

rewrite8.0ms

series110.0ms

simplify200.0ms

prune61.0ms

regimes231.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze269.0ms

sample381.0ms

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