Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

395×

body

valid

simplify275.0ms

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	3199	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

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))

series62.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* 3 (* z z)) (* x y))
28.0ms	(* 3 (* z z))

simplify77.0ms

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

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)

rewrite13.0ms

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:

7.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 z) z) (* x y))
28.0ms	(* (* 3 z) z)

simplify127.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (123.0ms)

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

prune52.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

9.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
9.0ms	(* (sqrt 3) (* (sqrt 3) (* z z)))
6.0ms	(* (sqrt 3) (* z z))

series212.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
72.0ms	(* (sqrt 3) (* (sqrt 3) (* z z)))
48.0ms	(* (sqrt 3) (* z z))

simplify187.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (182.0ms)

Iter	Nodes	Cost
0	235	391
1	963	314
2	4279	307
3	5002	303

prune100.0ms

Filtered

67 candidates to 40 candidates (59.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt 3)) (* z z))
0.2b	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
0.3b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
48×	`cbrt-prod`
46×	`add-sqr-sqrt`
42×	`pow-prod-down`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
27×	`sqrt-prod`
25×	`associate-l`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `unswap-sqr`
11×	`swap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 147

Calls

4 calls:

7.0ms	(* (cbrt (sqrt 3)) (* z z))
17.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
13.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
7.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series368.0ms

Counts

4 → 10

Calls

4 calls:

239.0ms	(* (cbrt (sqrt 3)) (* z z))
76.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
53.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify70.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	360	1517
1	1736	1102
2	5002	889

prune222.0ms

Filtered

157 candidates to 76 candidates (48.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	157	6	163

Merged error: 0.0b

Counts

163 → 6

regimes132.0ms

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

sample602.0ms

Algorithm

intervals

Results

365.0ms

12350×

body

valid