Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	300×	body	80	valid
5.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	4×	body	160	valid

simplify112.0ms

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

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))

series31.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
5.0ms	(* (- y x) 6.0)
10.0ms	(* (* (- 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

prune136.0ms

Filtered

54 candidates to 79 candidates (-46.3%)

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)))

rewrite32.0ms

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:

5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

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

prune124.0ms

Filtered

57 candidates to 91 candidates (-59.6%)

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))

rewrite35.0ms

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)
6.0ms	(* (- y x) 6.0)
10.0ms	(* (* (- y x) 6.0) (neg z))
9.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series21.0ms

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: 2 (52.0ms)

Iter	Nodes	Cost
0	466	577
1	2553	488
2	5002	486

prune155.0ms

Filtered

81 candidates to 121 candidates (-49.4%)

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

localize12.0ms

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)))

rewrite101.0ms

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))
34.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
25.0ms	(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
17.0ms	(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- (/ 2.0 3.0) z))
10.0ms	(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
34.0ms	(* (* (- 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)))

simplify141.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (101.0ms)

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

prune631.0ms

Filtered

149 candidates to 248 candidates (-66.4%)

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

regimes362.0ms

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

sample750.0ms

Algorithm

intervals

Results

328.0ms	9301×	body	80	valid
33.0ms	259×	body	640	valid
24.0ms	147×	body	1280	valid
18.0ms	183×	body	320	valid
9.0ms	132×	body	160	valid

Details

sample31.0ms

simplify112.0ms

prune3.0ms

localize9.0ms

rewrite26.0ms

series31.0ms

simplify56.0ms

prune136.0ms

localize8.0ms

rewrite32.0ms

series26.0ms

simplify52.0ms

prune124.0ms

localize11.0ms

rewrite35.0ms

series21.0ms

simplify60.0ms

prune155.0ms

localize12.0ms

rewrite101.0ms

series57.0ms

simplify141.0ms

prune631.0ms

regimes362.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample750.0ms

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