Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune1.0ms

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: 14.8b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) 1.0)
14.8b	(/ x (+ (* x x) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-def` `flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `frac-2neg` `clear-num` `*-commutative` `div-inv`

Counts

2 → 10

Calls

2 calls:

3.0ms	(+ (* x x) 1.0)
4.0ms	(/ x (+ (* x x) 1.0))

series92.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x x) 1.0)
57.0ms	(/ x (+ (* x x) 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	109	66
1	328	59
2	1314	56
3	5001	53

prune29.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	2	17

Merged error: 0b

Counts

17 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) 1.0)
2.2b	(/ x (fma (- 1.0) 1.0 (pow x 4)))
20.3b	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 26

Calls

3 calls:

4.0ms	(- (* x x) 1.0)
2.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
6.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series308.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* x x) 1.0)
156.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
110.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify34.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	259	247
1	1000	225
2	5001	213

prune72.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (pow x 5))
0.1b	(/ 1 (pow x 3))
19.7b	(fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/r*`
2×	`pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow` `sqr-pow`
1×	`unpow3` `fma-udef`

Counts

3 → 16

Calls

3 calls:

3.0ms	(/ 1 (pow x 5))
3.0ms	(/ 1 (pow x 3))
1.0ms	(fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))

series127.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1 (pow x 5))
33.0ms	(/ 1 (pow x 3))
48.0ms	(fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	65	68
1	164	64
2	632	61
3	3561	61
4	5003	61

prune47.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Merged error: 0b

Counts

27 → 2

regimes19.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.0b

bsearch66.0ms

Steps

Iters	Range		Point
9	357.20278190505735	4524963932.878733	640.0827614265569
9	-119005586.03332348	-0.6319501064166059	-8158.192220135305

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	15
1	34	15

end0.0ms

sample231.0ms

Algorithm

intervals

Results

146.0ms

8000×

body

valid