Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

382×

body

valid

simplify268.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

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

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: 0.1b

Counts

2 → 1

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-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))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* 3 (* z z)) (* x y))
3.0ms	(* 3 (* z z))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

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

prune50.0ms

Filtered

36 candidates to 23 candidates (36.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))
4.0ms	(* (* 3 z) z)

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* (* 3 z) z) (* x y))
3.0ms	(* (* 3 z) z)

simplify123.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (120.0ms)

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

prune44.0ms

Filtered

35 candidates to 21 candidates (40.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize16.0ms

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)))
0.2b	(* (cbrt 3) (* z z))

rewrite53.0ms

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:

20.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
19.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
10.0ms	(* (cbrt 3) (* z z))

series43.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
15.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
8.0ms	(* (cbrt 3) (* z z))

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

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

prune103.0ms

Filtered

71 candidates to 38 candidates (46.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	70	7	77

Merged error: 0b

Counts

77 → 7

localize14.0ms

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))

rewrite43.0ms

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)
19.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
8.0ms	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

series120.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (sqrt 3)) z)
25.0ms	(* (cbrt (sqrt 3)) z)
38.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
29.0ms	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

simplify60.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (49.0ms)

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

prune218.0ms

Filtered

156 candidates to 79 candidates (49.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	156	7	163

Merged error: 0b

Counts

163 → 7

regimes343.0ms

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

sample735.0ms

Algorithm

intervals

Results

346.0ms

12215×

body

valid

Details

sample25.0ms

simplify268.0ms

prune7.0ms

localize6.0ms

rewrite10.0ms

series10.0ms

simplify77.0ms

prune50.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify123.0ms

prune44.0ms

localize16.0ms

rewrite53.0ms

series43.0ms

simplify56.0ms

prune103.0ms

localize14.0ms

rewrite43.0ms

series120.0ms

simplify60.0ms

prune218.0ms

regimes343.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample735.0ms

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