Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	62×	body	640	valid
3.0ms	139×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

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: 13.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
8×	`div-inv`
7×	`frac-2neg` `clear-num`
6×	`associate-/r/`
3×	`flip3-+` `fma-neg` `prod-diff` `flip-+`
1×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`

Counts

2 → 25

Calls

2 calls:

3.0ms	(/ 1.0 (+ x 1.0))
6.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
57.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify36.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	237
1	1115	202
2	5002	187

prune61.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0.3b

Counts

32 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (+ x 1.0)) x)
0.0b	(/ (* (- 1.0) (- x (+ x 1.0))) (* (- (+ x 1.0)) x))
1.5b	(- x (+ x 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`neg-mul-1` `times-frac` `associate-l` `*-commutative`
4×	`associate-*l/` `distribute-neg-frac`
3×	`associate-/r` `associate-/l`
2×	`distribute-lft-neg-out` `flip3--` `flip3-+` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `associate--r+`
1×	`+-commutative` `sub-neg` `frac-2neg` `distribute-frac-neg` `clear-num` `div-inv`

Counts

3 → 34

Calls

3 calls:

3.0ms	(* (- (+ x 1.0)) x)
8.0ms	(/ (* (- 1.0) (- x (+ x 1.0))) (* (- (+ x 1.0)) x))
2.0ms	(- x (+ x 1.0))

series102.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (- (+ x 1.0)) x)
34.0ms	(/ (* (- 1.0) (- x (+ x 1.0))) (* (- (+ x 1.0)) x))
9.0ms	(- x (+ x 1.0))

simplify30.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	268	225
1	990	206
2	5002	189

prune73.0ms

Filtered

43 candidates to 31 candidates (72.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- (+ x 1.0)))
0.1b	(/ (* (/ 1.0 (- (+ x 1.0))) 1.0) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/l*`
4×	`associate-*l/` `associate-/r/` `associate-/l/` `distribute-neg-frac`
3×	`frac-2neg` `associate-l` `clear-num` `div-inv`
2×	`neg-mul-1` `flip3-+` `associate-/r*` `flip-+`
1×	`*-commutative`

Counts

2 → 18

Calls

2 calls:

3.0ms	(/ 1.0 (- (+ x 1.0)))
6.0ms	(/ (* (/ 1.0 (- (+ x 1.0))) 1.0) x)

series57.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1.0 (- (+ x 1.0)))
34.0ms	(/ (* (/ 1.0 (- (+ x 1.0))) 1.0) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	172	108
1	489	102
2	2458	99
3	5001	96

prune50.0ms

Filtered

24 candidates to 21 candidates (87.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (- (+ x 1.0)) 1.0) (/ x 1.0))
0.3b	(/ 1 (* (/ (- (+ x 1.0)) 1.0) (/ x 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`frac-times`
28×	`associate-/r/`
25×	`clear-num`
23×	`frac-2neg`
16×	`associate-/l/` `distribute-neg-frac`
12×	`associate-*l/`
8×	`neg-mul-1` `flip3-+` `flip-+` `associate-/l*`
6×	`associate-*r/`
5×	`div-inv`
4×	`associate-/r*`
2×	`associate-r` `associate-l` `un-div-inv` `*-commutative`
1×	`distribute-lft-neg-out` `distribute-frac-neg` `inv-pow`

Counts

2 → 68

Calls

2 calls:

6.0ms	(* (/ (- (+ x 1.0)) 1.0) (/ x 1.0))
9.0ms	(/ 1 (* (/ (- (+ x 1.0)) 1.0) (/ x 1.0)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (/ (- (+ x 1.0)) 1.0) (/ x 1.0))
34.0ms	(/ 1 (* (/ (- (+ x 1.0)) 1.0) (/ x 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	371	331
1	1728	294
2	5001	293

prune128.0ms

Filtered

74 candidates to 61 candidates (82.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0b

Counts

77 → 3

regimes15.0ms

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	12	5
1	13	5
2	13	5

end0.0ms

sample399.0ms

Algorithm

intervals

Results

142.0ms	1957×	body	640	valid
85.0ms	4201×	body	80	valid
66.0ms	1236×	body	320	valid
22.0ms	606×	body	160	valid