Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	69	7
1	69	7

prune4.0ms

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

localize6.0ms

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))

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5592	356

prune39.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

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

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))

series21.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(pow (+ a b) 6)
4.0ms	(cbrt (pow (+ a b) 6))

simplify46.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5136	312

prune41.0ms

Filtered

22 candidates to 40 candidates (-81.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

43 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b)))
0.3b	(* (+ (* a a) (* b (- b a))) (- a b))
0.3b	(* (+ (pow a 3) (pow b 3)) (- a b))
0.4b	(/ (* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b))) (* (+ (* a a) (* b (- b a))) (- a b)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

23.0ms	(* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b)))
9.0ms	(* (+ (* a a) (* b (- b a))) (- a b))
16.0ms	(* (+ (pow a 3) (pow b 3)) (- a b))
30.0ms	(/ (* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b))) (* (+ (* a a) (* b (- b a))) (- a b)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b)))
9.0ms	(* (+ (* a a) (* b (- b a))) (- a b))
10.0ms	(* (+ (pow a 3) (pow b 3)) (- a b))
12.0ms	(/ (* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b))) (* (+ (* a a) (* b (- b a))) (- a b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5224	4275

prune418.0ms

Filtered

151 candidates to 186 candidates (-23.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	186	3	189

Merged error: 0b

Counts

189 → 3

regimes149.0ms

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	7
1	5	7

end0.0ms

sample416.0ms

Algorithm

intervals

Results

171.0ms	8000×	pre	80	true
128.0ms	8000×	body	80	valid

Details

analyze2.0ms

sample22.0ms

simplify5.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series4.0ms

simplify31.0ms

prune39.0ms

localize6.0ms

rewrite9.0ms

series21.0ms

simplify46.0ms

prune41.0ms

localize18.0ms

rewrite86.0ms

series47.0ms

simplify48.0ms

prune418.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample416.0ms

Profiling