Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify17.0ms

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 (100.0%)

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))

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×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

8.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	187	221
1	883	196
2	5002	178

prune42.0ms

Filtered

45 candidates to 20 candidates (55.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

569×	`add-sqr-sqrt`
265×	`*-un-lft-identity`
263×	`associate-l`
244×	`difference-of-squares`
215×	`times-frac`
96×	`swap-sqr`
87×	`*-commutative` `unswap-sqr`
84×	`distribute-lft-out--`
67×	`add-cube-cbrt`
43×	`associate-/l*`
28×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`distribute-lft-out`
6×	`flip3-+` `flip-+`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `div-inv`

Counts

3 → 390

Calls

3 calls:

17.0ms	(- (* a a) (* b b))
26.0ms	(* (- (* a a) (* b b)) (+ a b))
42.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))

series122.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (* a a) (* b b))
45.0ms	(* (- (* a a) (* b b)) (+ a b))
45.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))

simplify175.0ms

Algorithm

egg-herbie

Counts

399 → 399

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	917	3703
1	4904	3317
2	5001	3308

prune312.0ms

Filtered

399 candidates to 144 candidates (63.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	398	1	399
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	401	2	403

Merged error: 0b

Counts

403 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
0.0b	(+ (* 2 (* a b)) (pow b 2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`add-log-exp`
7×	`distribute-lft-out`
4×	`sum-log`
3×	`+-commutative` `associate-r`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `distribute-rgt-out` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+` `unpow2`

Counts

2 → 32

Calls

2 calls:

26.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
18.0ms	(+ (* 2 (* a b)) (pow b 2))

series72.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
48.0ms	(+ (* 2 (* a b)) (pow b 2))

simplify183.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	172	264
1	746	245
2	4107	237
3	5001	237

prune58.0ms

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (* 2 b) a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

10.0ms

(* a (+ (* 2 b) a))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* a (+ (* 2 b) a))

simplify114.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	141	123
1	687	109
2	3352	108
3	5001	108

prune33.0ms

Filtered

29 candidates to 17 candidates (41.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	2	31

Merged error: 0b

Counts

31 → 2

regimes27.0ms

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	13	6
1	13	6

end0.0ms

sample360.0ms

Algorithm

intervals

Results

119.0ms	8000×	pre	80	true
106.0ms	8000×	body	80	valid