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

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

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

prune46.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(* (- a b) (- a b))
0.5b	(* (- (* a a) (* b b)) (- (* a a) (* b b)))
0.5b	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
25×	`flip3--` `flip--`
24×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`frac-times`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r` `associate-l` `difference-of-squares`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 135

Calls

4 calls:

3.0ms	(- (* a a) (* b b))
9.0ms	(* (- a b) (- a b))
9.0ms	(* (- (* a a) (* b b)) (- (* a a) (* b b)))
16.0ms	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* a a) (* b b))
17.0ms	(* (- a b) (- a b))
38.0ms	(* (- (* a a) (* b b)) (- (* a a) (* b b)))
41.0ms	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))

simplify149.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	536	1348
1	3412	1077
2	5002	1052

prune198.0ms

Filtered

147 candidates to 87 candidates (59.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	147	4	151

Merged error: 0b

Counts

151 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(* (- a b) (- a b))
0.0b	(/ (- (* a a) (* b b)) (/ (* (- a b) (- a b)) (- (* a a) (* b b))))
0.0b	(/ (* (- a b) (- a b)) (- (* a a) (* b b)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
45×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
23×	`difference-of-squares`
20×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
14×	`associate-/r*`
13×	`associate-/r/`
11×	`pow1`
10×	`associate-/l/`
8×	`frac-times`
7×	`cbrt-undiv` `swap-sqr` `div-exp` `div-inv`
6×	`distribute-lft-out--` `add-log-exp`
5×	`associate-r` `associate-l` `associate-/l*`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`pow2` `pow-plus` `diff-log` `div-sub` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 165

Calls

4 calls:

3.0ms	(- (* a a) (* b b))
9.0ms	(* (- a b) (- a b))
17.0ms	(/ (- (* a a) (* b b)) (/ (* (- a b) (- a b)) (- (* a a) (* b b))))
12.0ms	(/ (* (- a b) (- a b)) (- (* a a) (* b b)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* a a) (* b b))
17.0ms	(* (- a b) (- a b))
38.0ms	(/ (- (* a a) (* b b)) (/ (* (- a b) (- a b)) (- (* a a) (* b b))))
80.0ms	(/ (* (- a b) (- a b)) (- (* a a) (* b b)))

simplify141.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	721	1999
1	4631	1673
2	5003	1622

prune265.0ms

Filtered

177 candidates to 126 candidates (71.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	177	4	181

Merged error: 0b

Counts

181 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (- b a))
0.3b	(* (- 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)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

6.0ms	(* b (- b a))
9.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
16.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
25.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* b (- b a))
49.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
89.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
77.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify37.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	843	1541
1	5002	1377

prune400.0ms

Filtered

140 candidates to 103 candidates (73.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Merged error: 0b

Counts

144 → 4

regimes52.0ms

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	9	11

end0.0ms

sample421.0ms

Algorithm

intervals

Results

167.0ms	8000×	pre	80	true
125.0ms	8000×	body	80	valid