Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

373×

body

valid

simplify205.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	89	4
3	157	4
4	170	4
5	186	4
6	244	4
7	442	4
8	1389	4
9	4767	4
10	5001	4

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l` `-commutative`
1×	`flip3--` `flip--`

Counts

1 → 9

Calls

1 calls:

5.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify176.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	83	58
1	275	54
2	1047	50
3	4323	50
4	5001	50

prune18.0ms

Filtered

12 candidates to 5 candidates (41.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	10	3	13

Merged error: 0.0b

Counts

13 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`fma-def` `associate-l`
2×	`associate-r`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `flip-+` `sqr-pow`

Counts

3 → 16

Calls

3 calls:

3.0ms	(* 2.0 (pow x 3))
9.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
4.0ms	(* (* x x) 3.0)

series170.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 2.0 (pow x 3))
101.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
30.0ms	(* (* x x) 3.0)

simplify171.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (166.0ms)

Iter	Nodes	Cost
0	98	78
1	447	72
2	3021	64
3	5001	60

prune46.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `associate-*r/`
3×	`*-commutative`
2×	`flip3--` `associate-r` `flip--`

Counts

2 → 20

Calls

2 calls:

3.0ms	(* x (- 3.0 (* x 2.0)))
7.0ms	(* x (* x (- 3.0 (* x 2.0))))

series147.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* x (- 3.0 (* x 2.0)))
74.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify179.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	92	119
1	266	108
2	1036	103
3	4359	103
4	5001	103

prune32.0ms

Filtered

26 candidates to 9 candidates (34.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (fma 2.0 x 3.0))
0.2b	(* x (/ (* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0))) (+ 3.0 (* x 2.0))))
0.2b	(* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0)))
0.3b	(/ (* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0))) (+ 3.0 (* x 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-*r/`
8×	`-commutative` `associate-/l`
6×	`associate-l`
4×	`associate-/r/` `associate-/l/`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r` `clear-num` `flip--`
2×	`sub-neg` `frac-2neg` `flip3-+` `flip-+` `fma-udef` `div-inv`
1×	`un-div-inv`

Counts

4 → 37

Calls

4 calls:

2.0ms	(* x (fma 2.0 x 3.0))
8.0ms	(* x (/ (* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0))) (+ 3.0 (* x 2.0))))
5.0ms	(* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0)))
8.0ms	(/ (* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0))) (+ 3.0 (* x 2.0)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (fma 2.0 x 3.0))
217.0ms	(* x (/ (* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0))) (+ 3.0 (* x 2.0))))
157.0ms	(* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0)))
229.0ms	(/ (* (* x (fma 2.0 x 3.0)) (- 3.0 (* x 2.0))) (+ 3.0 (* x 2.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	196	254
1	917	240
2	5002	207

prune103.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	49	4	53

Merged error: 0b

Counts

53 → 4

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample359.0ms

Algorithm

intervals

Results

235.0ms

12052×

body

valid