Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	316×	body	80	valid
1.0ms	11×	body	320	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid

simplify126.0ms

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 (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

localize10.0ms

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)))
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite36.0ms

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

series172.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
69.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
51.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

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

prune246.0ms

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

localize10.0ms

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)))

rewrite41.0ms

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
74.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
42.0ms	(* 6.0 (- (/ 2.0 3.0) z))
51.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (15.0ms)

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

prune217.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.0b	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
0.3b	(* (* (- y x) 6.0) (- z))
0.4b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
17×	`associate-*l/`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`associate-r` `add-log-exp`
9×	`times-frac` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`flip3-+` `frac-add` `sum-log` `flip-+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`cbrt-undiv` `+-commutative` `frac-times` `associate-r/` `div-exp` `-commutative`
1×	`neg-mul-1` `associate-+l+` `unsub-neg` `div-inv`

Counts

4 → 95

Calls

4 calls:

4.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
8.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
9.0ms	(* (* (- y x) 6.0) (- z))
10.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series178.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
64.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
38.0ms	(* (* (- y x) 6.0) (- z))
33.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	644	890
1	3130	803
2	5002	800

prune234.0ms

Filtered

107 candidates to 76 candidates (71.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize19.0ms

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)))))
0.5b	(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))))

rewrite19.0ms

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:

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

series2.4s

Counts

4 → 12

Calls

4 calls:

879.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
505.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
485.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
511.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	463	2031
1	1619	1918
2	5001	1706

prune329.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	97	11	108

Merged error: 0.0b

Counts

108 → 11

regimes258.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample606.0ms

Algorithm

intervals

Results

312.0ms	9397×	body	80	valid
30.0ms	258×	body	640	valid
25.0ms	169×	body	1280	valid
16.0ms	173×	body	320	valid
7.0ms	119×	body	160	valid