Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

405×

body

valid

simplify270.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3185	4
12	5003	4

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

series56.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* 3 (* z z)) (* x y))
24.0ms	(* 3 (* z z))

simplify80.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143

prune61.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Merged error: 0.0b

Counts

38 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify127.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141

prune44.0ms

Filtered

35 candidates to 19 candidates (54.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b	(* (cbrt 3) (* z z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
10.0ms	(* (cbrt 3) (* z z))

series227.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
46.0ms	(* (cbrt 3) (* z z))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	265	553
1	1032	424
2	5002	368

prune101.0ms

Filtered

71 candidates to 37 candidates (52.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (sqrt 3)) z)
0.1b	(* (cbrt (sqrt 3)) z)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
0.3b	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`associate-r` `sqrt-prod`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

5.0ms	(* (cbrt (sqrt 3)) z)
5.0ms	(* (cbrt (sqrt 3)) z)
30.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
9.0ms	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

series1.4s

Counts

4 → 12

Calls

4 calls:

450.0ms	(* (cbrt (sqrt 3)) z)
273.0ms	(* (cbrt (sqrt 3)) z)
375.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
351.0ms	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

simplify61.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	310	1140
1	1569	844
2	5001	761

prune267.0ms

Filtered

156 candidates to 78 candidates (50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample632.0ms

Algorithm

intervals

Results

380.0ms

12301×

body

valid

Details

sample23.0ms

simplify270.0ms

prune8.0ms

localize6.0ms

rewrite11.0ms

series56.0ms

simplify80.0ms

prune61.0ms

localize6.0ms

rewrite10.0ms

series61.0ms

simplify127.0ms

prune44.0ms

localize10.0ms

rewrite35.0ms

series227.0ms

simplify53.0ms

prune101.0ms

localize13.0ms

rewrite56.0ms

series1.4s

simplify61.0ms

prune267.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample632.0ms

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