Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

385×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 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)))

simplify169.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (10.0ms)

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

prune23.0ms

Filtered

12 candidates to 5 candidates (41.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	8	4	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	5	13

Merged error: 0.0b

Counts

13 → 5

localize8.0ms

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)

rewrite15.0ms

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))
8.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
4.0ms	(* (* x x) 3.0)

series167.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* 2.0 (pow x 3))
99.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
25.0ms	(* (* x x) 3.0)

simplify164.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (161.0ms)

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

prune55.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.1b	(fma x (* x 3.0) (- (* 2.0 (pow x 3))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r`
1×	`unpow3` `*-commutative` `fma-udef` `sqr-pow`

Counts

2 → 4

Calls

2 calls:

3.0ms	(* 2.0 (pow x 3))
1.0ms	(fma x (* x 3.0) (- (* 2.0 (pow x 3))))

series150.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* 2.0 (pow x 3))
108.0ms	(fma x (* x 3.0) (- (* 2.0 (pow x 3))))

simplify75.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	36	27
1	95	27
2	318	24
3	1279	24
4	5002	24

prune20.0ms

Filtered

10 candidates to 5 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* (* x (* x (- 3.0 (* x 2.0)))) (fma 2.0 x 3.0))
0.2b	(* x (* x (- 3.0 (* x 2.0))))
3.3b	(/ (* (* x (* x (- 3.0 (* x 2.0)))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

3.0ms	(* x (- 3.0 (* x 2.0)))
6.0ms	(* (* x (* x (- 3.0 (* x 2.0)))) (fma 2.0 x 3.0))
5.0ms	(* x (* x (- 3.0 (* x 2.0))))
9.0ms	(/ (* (* x (* x (- 3.0 (* x 2.0)))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- 3.0 (* x 2.0)))
156.0ms	(* (* x (* x (- 3.0 (* x 2.0)))) (fma 2.0 x 3.0))
75.0ms	(* x (* x (- 3.0 (* x 2.0))))
208.0ms	(/ (* (* x (* x (- 3.0 (* x 2.0)))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	207	293
1	792	264
2	3936	238
3	5001	238

prune87.0ms

Filtered

54 candidates to 30 candidates (55.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	17	5
2	17	5

end0.0ms

sample360.0ms

Algorithm

intervals

Results

230.0ms

12027×

body

valid