Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	296×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	320	valid

simplify137.0ms

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 (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 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)))
0.3b	(* (* (- 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)
6.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
18.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* (- y x) 6.0)
13.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

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

prune771.0ms

Filtered

97 candidates to 67 candidates (30.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

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)))

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)
13.0ms	(* 6.0 (- (/ 2.0 3.0) z))
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
14.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (13.0ms)

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

prune134.0ms

Filtered

109 candidates to 69 candidates (36.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify72.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (63.0ms)

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

prune147.0ms

Filtered

121 candidates to 81 candidates (33.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

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

series513.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
98.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
97.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
222.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	463	2031
1	1627	1918
2	5002	1705

prune321.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

regimes457.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b 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

sample816.0ms

Algorithm

intervals

Results

360.0ms	9443×	body	80	valid
35.0ms	246×	body	640	valid
28.0ms	166×	body	1280	valid
20.0ms	194×	body	320	valid
8.0ms	109×	body	160	valid

Details

sample28.0ms

simplify137.0ms

prune4.0ms

localize9.0ms

rewrite39.0ms

series30.0ms

simplify62.0ms

prune771.0ms

localize9.0ms

rewrite42.0ms

series28.0ms

simplify62.0ms

prune134.0ms

localize13.0ms

rewrite33.0ms

series22.0ms

simplify72.0ms

prune147.0ms

localize15.0ms

rewrite18.0ms

series513.0ms

simplify64.0ms

prune321.0ms

regimes457.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample816.0ms

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