Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	307×	body	80	valid
2.0ms	13×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	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

prune4.0ms

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: 0.6b

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

rewrite33.0ms

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)
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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
60.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms	(* (- y x) 6.0)
44.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify60.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune321.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

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

rewrite40.0ms

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
60.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
36.0ms	(* 6.0 (- (/ 2.0 3.0) z))
43.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune299.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

176×	`associate-*l/`
168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-*r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

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

series2.0s

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
374.0ms	(cbrt (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
363.0ms	(cbrt (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
871.0ms	(* (cbrt (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))) (cbrt (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify87.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	674	3994
1	2168	3901
2	5001	3847

prune881.0ms

Filtered

174 candidates to 124 candidates (71.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	174	9	183

Merged error: 0.0b

Counts

183 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 y) (* 6.0 (- (* x z) (* z y))))
0.0b	(- (* x z) (* z y))
0.3b	(* 6.0 (- (* x z) (* z y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

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

series133.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* 4.0 y) (* 6.0 (- (* x z) (* z y))))
38.0ms	(- (* x z) (* z y))
48.0ms	(* 6.0 (- (* x z) (* z y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	237	388
1	1021	343
2	5002	334

prune175.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

regimes399.0ms

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

sample741.0ms

Algorithm

intervals

Results

315.0ms	9374×	body	80	valid
32.0ms	259×	body	640	valid
23.0ms	146×	body	1280	valid
16.0ms	172×	body	320	valid
7.0ms	116×	body	160	valid

Details

sample33.0ms

simplify112.0ms

prune4.0ms

localize9.0ms

rewrite33.0ms

series150.0ms

simplify60.0ms

prune321.0ms

localize9.0ms

rewrite40.0ms

series157.0ms

simplify54.0ms

prune299.0ms

localize14.0ms

rewrite64.0ms

series2.0s

simplify87.0ms

prune881.0ms

localize9.0ms

rewrite15.0ms

series133.0ms

simplify40.0ms

prune175.0ms

regimes399.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample741.0ms

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