Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

348×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune5.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	30	18
1	71	18
2	209	12
3	544	12
4	1937	12
5	5001	12

prune3.0ms

Filtered

4 candidates to 1 candidates (25.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	4	2	6

Merged error: 0.1b

Counts

6 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`*-commutative`

Counts

2 → 10

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
4.0ms	(* x (+ 0.253 (* x 0.12)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ 0.253 (* x 0.12))
62.0ms	(* x (+ 0.253 (* x 0.12)))

simplify91.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	76	52
1	225	46
2	873	46
3	2905	46
4	5002	46

prune22.0ms

Filtered

16 candidates to 9 candidates (56.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	15	3	18

Merged error: 0.1b

Counts

18 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (fma 0.12 x 0.253))
0.2b	(* (* x (fma 0.12 x 0.253)) (- 0.253 (* x 0.12)))
6.0b	(/ (* (* x (fma 0.12 x 0.253)) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 27

Calls

4 calls:

2.0ms	(- 0.253 (* x 0.12))
5.0ms	(* x (fma 0.12 x 0.253))
4.0ms	(* (* x (fma 0.12 x 0.253)) (- 0.253 (* x 0.12)))
7.0ms	(/ (* (* x (fma 0.12 x 0.253)) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 0.253 (* x 0.12))
62.0ms	(* x (fma 0.12 x 0.253))
143.0ms	(* (* x (fma 0.12 x 0.253)) (- 0.253 (* x 0.12)))
58.0ms	(/ (* (* x (fma 0.12 x 0.253)) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

simplify88.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	174	187
1	734	175
2	3359	151
3	5003	150

prune72.0ms

Filtered

39 candidates to 25 candidates (64.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (fma 0.12 x 0.253))
0.3b	(/ 1 (* x (fma 0.12 x 0.253)))
0.5b	(/ 1 (/ 1 (* x (fma 0.12 x 0.253))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r*` `associate-/r/`
4×	`clear-num`
3×	`frac-2neg` `*-commutative` `div-inv` `inv-pow`
2×	`fma-udef` `remove-double-div`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in`

Counts

3 → 22

Calls

3 calls:

2.0ms	(* x (fma 0.12 x 0.253))
3.0ms	(/ 1 (* x (fma 0.12 x 0.253)))
4.0ms	(/ 1 (/ 1 (* x (fma 0.12 x 0.253))))

series167.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (fma 0.12 x 0.253))
44.0ms	(/ 1 (* x (fma 0.12 x 0.253)))
61.0ms	(/ 1 (/ 1 (* x (fma 0.12 x 0.253))))

simplify89.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	108	77
1	458	68
2	2478	66
3	5001	64

prune42.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

regimes17.0ms

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	13	5
1	13	5

end0.0ms

sample309.0ms

Algorithm

intervals

Results

200.0ms

10664×

body

valid