Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	293×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`associate-l`
27×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
6×	`difference-of-squares`
5×	`sub-neg` `distribute-lft-out--` `unswap-sqr`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`*-commutative`
2×	`times-frac` `associate-*r/`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (- y x) 6.0)
8.0ms	(- (/ 2.0 3.0) z)
18.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
17.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series169.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- y x) 6.0)
21.0ms	(- (/ 2.0 3.0) z)
67.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
49.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	453	738
1	2141	686
2	5001	686

prune181.0ms

Filtered

116 candidates to 79 candidates (68.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`associate-l`
30×	`associate-r`
23×	`add-exp-log`
18×	`pow1` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
17×	`unswap-sqr`
14×	`prod-exp`
12×	`add-cube-cbrt`
11×	`sub-neg`
10×	`associate-*r/`
9×	`pow-prod-down` `cbrt-unprod`
8×	`associate-+r+` `flip3--` `associate-*l/` `flip--` `add-log-exp`
7×	`difference-of-squares`
5×	`*-commutative` `distribute-lft-out` `distribute-lft-out--`
4×	`frac-times`
3×	`times-frac`
2×	`1-exp`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 140

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
25.0ms	(+ x (* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms	(* 6.0 (- (/ 2.0 3.0) z))
27.0ms	(* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
68.0ms	(+ x (* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z))))
42.0ms	(* 6.0 (- (/ 2.0 3.0) z))
50.0ms	(* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	643	1063
1	2747	962
2	5002	960

prune224.0ms

Filtered

152 candidates to 92 candidates (60.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	152	8	160

Merged error: 0.0b

Counts

160 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
0.2b	(* (- z) (* (- y x) 6.0))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
47×	`associate-l`
37×	`associate-r` `associate-*l/`
28×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
18×	`frac-times`
16×	`pow1`
15×	`distribute-lft-out`
14×	`flip3--` `flip--`
12×	`unswap-sqr`
11×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-/r` `associate-/l` `add-log-exp`
8×	`associate-*r/`
7×	`pow-prod-down`
6×	`distribute-rgt-neg-in`
5×	`*-commutative`
4×	`frac-add`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `div-exp`
1×	`neg-mul-1` `unsub-neg` `div-inv`

Counts

4 → 172

Calls

4 calls:

6.0ms	(* (- y x) 6.0)
38.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
15.0ms	(* (- z) (* (- y x) 6.0))
16.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- y x) 6.0)
70.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
50.0ms	(* (- z) (* (- y x) 6.0))
37.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	994	1341
1	5001	1257

prune323.0ms

Filtered

184 candidates to 126 candidates (68.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	181	11	192

Merged error: 0.0b

Counts

192 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (+ x (* (- z) (* (- y x) 6.0))))
0.2b	(* (- z) (* (- y x) 6.0))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

91×	`associate-*l/`
69×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
58×	`frac-add`
54×	`frac-times`
46×	`associate-l`
40×	`add-cube-cbrt`
37×	`associate-r`
32×	`flip3--` `flip--`
30×	`flip3-+` `flip-+`
27×	`associate-/r` `associate-/l`
23×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
14×	`distribute-lft-out`
12×	`unswap-sqr`
11×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
9×	`frac-2neg` `clear-num` `add-log-exp`
8×	`associate-*r/`
7×	`pow-prod-down`
5×	`distribute-rgt-neg-in` `*-commutative`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `sum-log` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `+-commutative` `associate-+r-` `associate-+r+` `div-exp`
1×	`neg-mul-1` `unsub-neg` `div-inv`

Counts

4 → 225

Calls

4 calls:

6.0ms	(* (- y x) 6.0)
49.0ms	(+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (+ x (* (- z) (* (- y x) 6.0))))
12.0ms	(* (- z) (* (- y x) 6.0))
16.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
66.0ms	(+ (* (/ 2.0 3.0) (* (- y x) 6.0)) (+ x (* (- z) (* (- y x) 6.0))))
53.0ms	(* (- z) (* (- y x) 6.0))
33.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1867	3744
1	5003	3699

prune521.0ms

Filtered

237 candidates to 172 candidates (72.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	234	3	237
Fresh	3	5	8
Picked	1	0	1
Done	0	2	2
Total	238	10	248

Merged error: 0.0b

Counts

248 → 10

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	23	8
2	30	8
3	30	8

end0.0ms

sample586.0ms

Algorithm

intervals

Results

285.0ms	9420×	body	80	valid
33.0ms	289×	body	640	valid
21.0ms	132×	body	1280	valid
15.0ms	178×	body	320	valid
6.0ms	107×	body	160	valid