Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	239×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* (+ x y) 2) z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ x (+ (* (+ x y) 2) z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (+ (* (+ x y) 2) z))

simplify36.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5369	207

prune24.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (* (+ x y) 2)) z)
0.0b	(+ x (* (+ x y) 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (+ x (* (+ x y) 2)) z)
3.0ms	(+ x (* (+ x y) 2))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (+ x (* (+ x y) 2)) z)
5.0ms	(+ x (* (+ x y) 2))

simplify29.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4846	348
1	4846	348

prune35.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (* (+ x y) -4))
0.0b	(+ x (* (+ x y) -2))
15.9b	(+ (* x x) (* (+ x y) (* (+ x y) -4)))
29.5b	(/ (+ (* x x) (* (+ x y) (* (+ x y) -4))) (+ x (* (+ x y) -2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
9×	`pow1` `times-frac`
8×	`associate-*l/` `add-log-exp`
4×	`frac-times` `associate-l`
3×	`pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (+ x y) (* (+ x y) -4))
3.0ms	(+ x (* (+ x y) -2))
4.0ms	(+ (* x x) (* (+ x y) (* (+ x y) -4)))
8.0ms	(/ (+ (* x x) (* (+ x y) (* (+ x y) -4))) (+ x (* (+ x y) -2)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) (* (+ x y) -4))
4.0ms	(+ x (* (+ x y) -2))
8.0ms	(+ (* x x) (* (+ x y) (* (+ x y) -4)))
15.0ms	(/ (+ (* x x) (* (+ x y) (* (+ x y) -4))) (+ x (* (+ x y) -2)))

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4902	1393
1	4902	1393

prune131.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x 3) (* y 2)) z)
0.0b	(+ (* x 3) (* y 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (+ (* x 3) (* y 2)) z)
3.0ms	(+ (* x 3) (* y 2))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (+ (* x 3) (* y 2)) z)
5.0ms	(+ (* x 3) (* y 2))

simplify39.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5388	344

prune34.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

regimes131.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample532.0ms

Algorithm

intervals

Results

207.0ms	7428×	body	80	valid
23.0ms	166×	body	1280	valid
19.0ms	189×	body	640	valid
9.0ms	118×	body	320	valid
6.0ms	40×	body	2560	valid
4.0ms	73×	body	160	valid

Details

sample23.0ms

simplify4.0ms

prune7.0ms

localize6.0ms

rewrite7.0ms

series6.0ms

simplify36.0ms

prune24.0ms

localize8.0ms

rewrite8.0ms

series11.0ms

simplify29.0ms

prune35.0ms

localize14.0ms

rewrite26.0ms

series32.0ms

simplify66.0ms

prune131.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify39.0ms

prune34.0ms

regimes131.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample532.0ms

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