Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	229×	body	80	nan

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

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: 0.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 21

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
3.0ms	(* 6.0 (- x 1.0))
7.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
42.0ms	(* 6.0 (- x 1.0))
76.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify74.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	210	167
1	654	159
2	2812	150
3	5001	149

prune69.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 23

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
6.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
72.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	203	219
1	660	208
2	2965	195
3	5001	193

prune77.0ms

Filtered

32 candidates to 28 candidates (87.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b	(/ 6.0 (/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.0b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-/r/`
12×	`associate-/r*`
7×	`clear-num`
6×	`frac-2neg` `div-inv` `associate-/l/`
4×	`flip3-+` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+`
1×	`div-sub` `remove-double-div` `inv-pow`

Counts

4 → 41

Calls

4 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
7.0ms	(/ 6.0 (/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
6.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms	(/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
78.0ms	(/ 6.0 (/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
71.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify35.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	247	298
1	923	280
2	5002	265

prune119.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(* (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 29

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
4.0ms	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
7.0ms	(* (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))

series175.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
61.0ms	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
79.0ms	(* (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	294	309
1	1130	299
2	5002	290

prune89.0ms

Filtered

38 candidates to 32 candidates (84.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Merged error: 0b

Counts

42 → 4

regimes15.0ms

Accuracy

0% (0.0b 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	14	7
1	14	7

end0.0ms

sample660.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
216.0ms	7833×	body	80	nan