Details

sample17.0ms

Algorithm

intervals

Results

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

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

12.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune41.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.2b	(* (- a b) (+ (pow a 2) (* b (- b a))))
0.4b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.4b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
16×	`frac-times`
14×	`add-sqr-sqrt`
13×	`flip3--` `flip--`
12×	`flip3-+` `associate-r` `flip-+`
9×	`associate-l`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out`
4×	`cbrt-undiv` `unpow-prod-down` `cube-prod` `div-exp`
3×	`difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 115

Calls

4 calls:

4.0ms	(- (* a a) (* b b))
10.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
18.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
26.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (* a a) (* b b))
52.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
90.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
79.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	792	1528
1	5002	1293

prune360.0ms

Filtered

127 candidates to 92 candidates (72.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Merged error: 0b

Counts

130 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (+ a b) 6)
0.5b	(cbrt (pow (+ a b) 6))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`cbrt-prod` `unpow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `pow-unpow`
2×	`add-cbrt-cube` `distribute-lft-out` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

2 → 34

Calls

2 calls:

4.0ms	(pow (+ a b) 6)
4.0ms	(cbrt (pow (+ a b) 6))

series100.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(pow (+ a b) 6)
15.0ms	(cbrt (pow (+ a b) 6))

simplify75.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	156	214
1	526	203
2	2023	184
3	5001	181

prune55.0ms

Filtered

40 candidates to 24 candidates (60.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	40	3	43

Merged error: 0b

Counts

43 → 3

regimes63.0ms

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	5	3
1	5	3

end0.0ms

sample427.0ms

Algorithm

intervals

Results

165.0ms	8000×	pre	80	true
129.0ms	8000×	body	80	valid