Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	307×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid

simplify107.0ms

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: 0.3b

Counts

2 → 1

localize11.0ms

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)))
0.1b	(* (- y x) 6.0)
0.3b	(* (* (- 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)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms	(* (- y x) 6.0)
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)
63.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune189.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- y x) 6.0)
0.1b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))
0.3b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
14×	`associate-*l/`
12×	`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` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-*r/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (- y x) 6.0)
7.0ms	(* (- y x) 6.0)
10.0ms	(* (* (- y x) 6.0) (- z))
15.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series131.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- y x) 6.0)
31.0ms	(* (- y x) 6.0)
39.0ms	(* (* (- y x) 6.0) (- z))
31.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	468	582
1	2632	494
2	5001	494

prune222.0ms

Filtered

121 candidates to 79 candidates (65.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

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	(* 6.0 (- (/ 2.0 3.0) z))
0.3b	(* (- 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:

8.0ms	(- (/ 2.0 3.0) z)
6.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* 6.0 (- (/ 2.0 3.0) z))
14.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ 2.0 3.0) z)
101.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
47.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (16.0ms)

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

prune175.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

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))))

rewrite194.0ms

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)))))
177.0ms	(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))))

series2.1s

Counts

4 → 12

Calls

4 calls:

808.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
451.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
439.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
447.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

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

prune293.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

regimes199.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	32	10
3	32	10

end0.0ms

sample609.0ms

Algorithm

intervals

Results

324.0ms	9507×	body	80	valid
30.0ms	240×	body	640	valid
24.0ms	137×	body	1280	valid
21.0ms	198×	body	320	valid
6.0ms	94×	body	160	valid

Details

sample23.0ms

simplify107.0ms

prune2.0ms

localize11.0ms

rewrite36.0ms

series157.0ms

simplify55.0ms

prune189.0ms

localize10.0ms

rewrite42.0ms

series131.0ms

simplify75.0ms

prune222.0ms

localize8.0ms

rewrite41.0ms

series216.0ms

simplify60.0ms

prune175.0ms

localize13.0ms

rewrite194.0ms

series2.1s

simplify65.0ms

prune293.0ms

regimes199.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample609.0ms

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