Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	7
1	69	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

9.0ms

(* (+ a b) (+ a b))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (+ a b) (+ a b))

simplify23.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5403	356

prune44.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* b (+ a b))
0.0b	(+ (* a (+ a b)) (* b (+ a b)))
0.0b	(* a (+ a b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* b (+ a b))
8.0ms	(+ (* a (+ a b)) (* b (+ a b)))
6.0ms	(* a (+ a b))

series18.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* b (+ a b))
6.0ms	(+ (* a (+ a b)) (* b (+ a b)))
5.0ms	(* a (+ a b))

simplify27.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4749	634
1	4749	634

prune63.0ms

Filtered

49 candidates to 75 candidates (-53.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (- b a))
0.3b	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a)))))
0.5b	(* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a))))
0.5b	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
46×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod`
26×	`swap-sqr`
24×	`flip3-+` `flip-+`
22×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
20×	`pow1`
17×	`associate-r`
16×	`frac-times`
15×	`associate-l`
14×	`add-cube-cbrt`
10×	`associate-*r/`
8×	`associate-*l/` `associate-/r/` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `sum-cubes` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`pow2` `sub-neg` `pow-plus` `pow-sqr` `pow-prod-up`
1×	`flip3--` `frac-2neg` `times-frac` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 165

Calls

4 calls:

7.0ms	(* b (- b a))
36.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a)))))
10.0ms	(* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a))))
27.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* b (- b a))
15.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a)))))
13.0ms	(* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a))))
12.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

simplify61.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4987	2845
1	4987	2845

prune277.0ms

Filtered

95 candidates to 177 candidates (-86.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	177	2	179

Merged error: 0b

Counts

179 → 2

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

end0.0ms

sample539.0ms

Algorithm

intervals

Results

181.0ms	8000×	pre	80	true
136.0ms	8000×	body	80	valid

Details

sample20.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite10.0ms

series4.0ms

simplify23.0ms

prune44.0ms

localize6.0ms

rewrite23.0ms

series18.0ms

simplify27.0ms

prune63.0ms

localize14.0ms

rewrite87.0ms

series45.0ms

simplify61.0ms

prune277.0ms

regimes69.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample539.0ms

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