Details

sample54.0ms

Algorithm

intervals

Results

25.0ms	293×	body	80	valid
3.0ms	8×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.6b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune133.0ms

Filtered

97 candidates to 67 candidates (30.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
15.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	437	708
1	1830	652
2	5001	652

prune132.0ms

Filtered

109 candidates to 69 candidates (36.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

4.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
8.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	309	381
1	1274	359
2	5002	359

prune80.0ms

Filtered

53 candidates to 38 candidates (28.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series111.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
26.0ms	(cbrt (- y x))
29.0ms	(cbrt (- y x))
26.0ms	(cbrt (- y x))

simplify122.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	287	799
1	858	762
2	3981	674
3	5001	652

prune114.0ms

Filtered

113 candidates to 78 candidates (31.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

regimes403.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample736.0ms

Algorithm

intervals

Results

350.0ms	9414×	body	80	valid
34.0ms	233×	body	640	valid
26.0ms	200×	body	320	valid
22.0ms	131×	body	1280	valid
7.0ms	95×	body	160	valid

Details

sample54.0ms

simplify144.0ms

prune3.0ms

localize9.0ms

rewrite32.0ms

series30.0ms

simplify55.0ms

prune133.0ms

localize9.0ms

rewrite39.0ms

series26.0ms

simplify51.0ms

prune132.0ms

localize7.0ms

rewrite13.0ms

series21.0ms

simplify40.0ms

prune80.0ms

localize11.0ms

rewrite22.0ms

series111.0ms

simplify122.0ms

prune114.0ms

regimes403.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample736.0ms

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