Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	294×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	160	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 (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: 0.6b

Counts

2 → 1

localize8.0ms

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))

rewrite35.0ms

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)
7.0ms	(+ 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))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

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

prune400.0ms

Filtered

97 candidates to 67 candidates (30.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize8.0ms

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)))

rewrite36.0ms

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:

6.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* 6.0 (- (/ 2.0 3.0) z))
12.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (12.0ms)

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

prune421.0ms

Filtered

109 candidates to 68 candidates (37.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	110	6	116

Merged error: 0.0b

Counts

116 → 6

localize14.0ms

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

rewrite16.0ms

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

series505.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
91.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
92.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
228.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

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

prune482.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 6.0 (* x z)) (* 4.0 y))
0.0b	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
0.3b	(* 6.0 (* x z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
6.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
4.0ms	(* 6.0 (* x z))

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
8.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
4.0ms	(* 6.0 (* x z))

simplify125.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	234	309
1	891	286
2	3894	278
3	5002	278

prune102.0ms

Filtered

52 candidates to 33 candidates (36.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	52	9	61

Merged error: 0.0b

Counts

61 → 9

regimes381.0ms

Accuracy

0% (0.3b remaining)

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

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

316.0ms	9553×	body	80	valid
32.0ms	243×	body	640	valid
25.0ms	157×	body	1280	valid
16.0ms	172×	body	320	valid
7.0ms	114×	body	160	valid

Details

sample29.0ms

simplify112.0ms

prune4.0ms

localize8.0ms

rewrite35.0ms

series28.0ms

simplify53.0ms

prune400.0ms

localize8.0ms

rewrite36.0ms

series29.0ms

simplify52.0ms

prune421.0ms

localize14.0ms

rewrite16.0ms

series505.0ms

simplify57.0ms

prune482.0ms

localize8.0ms

rewrite18.0ms

series19.0ms

simplify125.0ms

prune102.0ms

regimes381.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample741.0ms

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