Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	291×	body	80	valid
1.0ms	14×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid

simplify108.0ms

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

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

localize12.0ms

Local error

Found 3 expressions with local error:

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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series131.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- y x) 6.0)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	540
1	2044	493
2	5002	493

prune153.0ms

Filtered

79 candidates to 54 candidates (68.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

12.0ms	(* 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)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
63.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
42.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	425	632
1	1814	581
2	5002	581

prune168.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize13.0ms

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))))

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))))

series2.2s

Counts

4 → 12

Calls

4 calls:

783.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
499.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
437.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
444.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

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

prune321.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

localize18.0ms

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

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

series2.2s

Counts

4 → 12

Calls

4 calls:

449.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
443.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
847.0ms	(cbrt (* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))))
461.0ms	(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	550	1686
1	1665	1601
2	5001	1471

prune324.0ms

Filtered

71 candidates to 64 candidates (90.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	71	9	80

Merged error: 0.0b

Counts

80 → 9

regimes203.0ms

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

sample569.0ms

Algorithm

intervals

Results

277.0ms	9410×	body	80	valid
29.0ms	276×	body	640	valid
21.0ms	143×	body	1280	valid
19.0ms	208×	body	320	valid
7.0ms	120×	body	160	valid