Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	300×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	4×	body	160	valid

simplify111.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series26.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	540
1	2044	493
2	5002	493

prune132.0ms

Filtered

79 candidates to 54 candidates (31.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	69	10	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

7.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* 6.0 (- (/ 2.0 3.0) z))
14.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	425	632
1	1814	581
2	5002	581

prune118.0ms

Filtered

91 candidates to 57 candidates (37.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-l`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
17×	`associate-r`
13×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* (- y x) 6.0)
181.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (neg z))
10.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y x) 6.0)
4.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (neg z))
4.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	466	577
1	2582	488
2	5003	488

prune154.0ms

Filtered

121 candidates to 80 candidates (33.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	121	10	131

Merged error: 0.0b

Counts

131 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- (/ 2.0 3.0) z))
0.3b	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
0.8b	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

212×	`cbrt-div`
168×	`frac-times`
142×	`flip3--` `flip--`
132×	`associate-*l/`
60×	`associate-*r/`
53×	`add-sqr-sqrt`
44×	`cbrt-prod`
41×	`pow1`
36×	`add-exp-log`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
19×	`associate-r`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`times-frac`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 236

Calls

4 calls:

6.0ms	(cbrt (- (/ 2.0 3.0) z))
39.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
24.0ms	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
18.0ms	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- (/ 2.0 3.0) z))
9.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
35.0ms	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
7.0ms	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

simplify145.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	1194	4986
1	4673	4596
2	5001	4553

prune549.0ms

Filtered

248 candidates to 149 candidates (39.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	248	10	258

Merged error: 0.0b

Counts

258 → 10

regimes368.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample805.0ms

Algorithm

intervals

Results

349.0ms	9301×	body	80	valid
38.0ms	259×	body	640	valid
26.0ms	147×	body	1280	valid
22.0ms	183×	body	320	valid
9.0ms	132×	body	160	valid

Details

sample32.0ms

simplify111.0ms

prune3.0ms

localize9.0ms

rewrite26.0ms

series26.0ms

simplify56.0ms

prune132.0ms

localize8.0ms

rewrite33.0ms

series24.0ms

simplify50.0ms

prune118.0ms

localize11.0ms

rewrite208.0ms

series20.0ms

simplify60.0ms

prune154.0ms

localize13.0ms

rewrite106.0ms

series58.0ms

simplify145.0ms

prune549.0ms

regimes368.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample805.0ms

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