Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

408×

body

valid

simplify281.0ms

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))

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))

series59.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* 3 (* z z)) (* x y))
25.0ms	(* 3 (* z z))

simplify78.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (20.0ms)

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

prune63.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

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)

series57.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify131.0ms

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

prune45.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	34	7	41

Merged error: 0.0b

Counts

41 → 7

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))))
20.4b	(sqrt (* 3 (* z z)))
20.4b	(sqrt (* 3 (* z z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

5.0ms	(* 3 (* z z))
12.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
8.0ms	(sqrt (* 3 (* z z)))
4.0ms	(sqrt (* 3 (* z z)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 3 (* z z))
71.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
40.0ms	(sqrt (* 3 (* z z)))
35.0ms	(sqrt (* 3 (* z z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	169	344
1	783	285
2	5001	269

prune140.0ms

Filtered

121 candidates to 54 candidates (44.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
0.3b	(* (* (sqrt 3) z) (* (sqrt 3) z))
0.3b	(* (sqrt 3) z)
0.3b	(* (sqrt 3) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
12.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
4.0ms	(* (sqrt 3) z)
5.0ms	(* (sqrt 3) z)

series272.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
72.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
54.0ms	(* (sqrt 3) z)
39.0ms	(* (sqrt 3) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	212	450
1	1017	367
2	5002	365

prune122.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	101	8	109

Merged error: 0b

Counts

109 → 8

regimes141.0ms

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	11	4
1	11	4

end0.0ms

sample575.0ms

Algorithm

intervals

Results

340.0ms

12086×

body

valid

Details

sample22.0ms

simplify281.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series59.0ms

simplify78.0ms

prune63.0ms

localize6.0ms

rewrite10.0ms

series57.0ms

simplify131.0ms

prune45.0ms

localize9.0ms

rewrite34.0ms

series171.0ms

simplify35.0ms

prune140.0ms

localize7.0ms

rewrite32.0ms

series272.0ms

simplify41.0ms

prune122.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample575.0ms

Profiling