Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

405×

body

valid

simplify276.0ms

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

prune4.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

32.0ms	(+ (* 3 (* z z)) (* x y))
24.0ms	(* 3 (* z z))

simplify78.0ms

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

prune62.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize10.0ms

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:

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

series57.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify128.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (125.0ms)

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

prune47.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize9.0ms

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))

rewrite36.0ms

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:

15.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms	(* (cbrt 3) (* z z))

series212.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
86.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
44.0ms	(* (cbrt 3) (* z z))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

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

prune99.0ms

Filtered

71 candidates to 38 candidates (53.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	5	75

Merged error: 0b

Counts

75 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.3b	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
18.6b	(sqrt (* 3 (* z z)))
18.6b	(sqrt (* 3 (* z z)))

rewrite32.0ms

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:

6.0ms	(* 3 (* z z))
13.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
4.0ms	(sqrt (* 3 (* z z)))
4.0ms	(sqrt (* 3 (* z z)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 3 (* z z))
68.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
31.0ms	(sqrt (* 3 (* z z)))
36.0ms	(sqrt (* 3 (* z z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (28.0ms)

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

prune125.0ms

Filtered

121 candidates to 54 candidates (44.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	121	5	126

Merged error: 0b

Counts

126 → 5

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample599.0ms

Algorithm

intervals

Results

361.0ms

12100×

body

valid

Details

sample22.0ms

simplify276.0ms

prune4.0ms

localize9.0ms

rewrite12.0ms

series56.0ms

simplify78.0ms

prune62.0ms

localize10.0ms

rewrite10.0ms

series57.0ms

simplify128.0ms

prune47.0ms

localize9.0ms

rewrite36.0ms

series212.0ms

simplify40.0ms

prune99.0ms

localize8.0ms

rewrite32.0ms

series159.0ms

simplify40.0ms

prune125.0ms

regimes146.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample599.0ms

Profiling