Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	304×	body	80	valid
2.0ms	10×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	4×	body	160	valid

simplify122.0ms

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

prune2.0ms

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: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
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))

rewrite39.0ms

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)
8.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series153.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
59.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
32.0ms	(* (- y x) 6.0)
43.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune187.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Merged error: 0.0b

Counts

98 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`pow1` `add-cube-cbrt`
12×	`associate-*l/`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac` `add-log-exp`
7×	`associate-l` `pow-prod-down`
4×	`flip3--` `flip--`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sum-log` `*-commutative` `distribute-rgt-neg-out`
2×	`cbrt-undiv` `frac-times` `associate-+r-` `div-exp`
1×	`+-commutative` `neg-mul-1` `associate-+r+` `flip3-+` `associate-*r/` `unsub-neg` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y x) 6.0)
62.0ms	(+ x (+ (* (* (- y x) 6.0) (/ 2.0 3.0)) (* (* (- y x) 6.0) (neg z))))
31.0ms	(* (* (- y x) 6.0) (neg z))
30.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	560	725
1	3023	616
2	5001	616

prune207.0ms

Filtered

115 candidates to 78 candidates (67.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	115	10	125

Merged error: 0.0b

Counts

125 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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)
5.0ms	(+ 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)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
59.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
41.0ms	(* 6.0 (- (/ 2.0 3.0) z))
42.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune184.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

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

series2.1s

Counts

4 → 12

Calls

4 calls:

785.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
463.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
456.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
441.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	463	2031
1	1619	1918
2	5001	1705

prune284.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	97	11	108

Merged error: 0.0b

Counts

108 → 11

regimes247.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	32	10
3	32	10

end0.0ms

sample684.0ms

Algorithm

intervals

Results

365.0ms	9352×	body	80	valid
42.0ms	291×	body	640	valid
29.0ms	160×	body	1280	valid
23.0ms	213×	body	320	valid
16.0ms	130×	body	160	valid

Details

sample40.0ms

simplify122.0ms

prune2.0ms

localize9.0ms

rewrite39.0ms

series153.0ms

simplify58.0ms

prune187.0ms

localize11.0ms

rewrite40.0ms

series150.0ms

simplify77.0ms

prune207.0ms

localize9.0ms

rewrite42.0ms

series160.0ms

simplify57.0ms

prune184.0ms

localize14.0ms

rewrite18.0ms

series2.1s

simplify55.0ms

prune284.0ms

regimes247.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample684.0ms

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