Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

386×

body

valid

simplify274.0ms

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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

5.0ms	(+ (+ (* x y) (* z z)) (* z z))
3.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series36.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (+ (* x y) (* z z)) (* z z))
10.0ms	(+ (* x y) (* z z))
14.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify127.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	215	352
1	978	316
2	3975	293
3	5001	282

prune73.0ms

Filtered

34 candidates to 47 candidates (-38.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	39	8	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	8	48

Merged error: 0.0b

Counts

48 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ z z)))
0.1b	(+ (+ (* x y) (* z (+ z z))) (* z z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+ (* x y) (* z (+ z z)))
6.0ms	(+ (+ (* x y) (* z (+ z z))) (* z z))

series24.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (* x y) (* z (+ z z)))
11.0ms	(+ (+ (* x y) (* z (+ z z))) (* z z))

simplify123.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	187	237
1	821	220
2	3919	210
3	5002	206

prune41.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	7	0	7
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* (* 3 z) z))
3.0ms	(* (* 3 z) z)

simplify143.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	175	161
1	822	145
2	4320	140
3	5001	139

prune48.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 z) z)
0.3b	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
21.0b	(sqrt (* (* 3 z) z))
21.0b	(sqrt (* (* 3 z) z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* 3 z) z)
11.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
3.0ms	(sqrt (* (* 3 z) z))
4.0ms	(sqrt (* (* 3 z) z))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3 z) z)
7.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
3.0ms	(sqrt (* (* 3 z) z))
4.0ms	(sqrt (* (* 3 z) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	178	365
1	984	307
2	5002	269

prune93.0ms

Filtered

50 candidates to 120 candidates (-140.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

regimes213.0ms

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

sample782.0ms

Algorithm

intervals

Results

353.0ms

12057×

body

valid

Details

sample28.0ms

simplify274.0ms

prune7.0ms

localize7.0ms

rewrite17.0ms

series36.0ms

simplify127.0ms

prune73.0ms

localize8.0ms

rewrite10.0ms

series24.0ms

simplify123.0ms

prune41.0ms

localize6.0ms

rewrite11.0ms

series14.0ms

simplify143.0ms

prune48.0ms

localize9.0ms

rewrite27.0ms

series17.0ms

simplify45.0ms

prune93.0ms

regimes213.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample782.0ms

Profiling