Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

295×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	5

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: 9.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

8.0ms	(* x (+ (/ x y) 1.0))
15.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series72.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	296	332
1	1504	285
2	5001	283

prune92.0ms

Filtered

56 candidates to 38 candidates (67.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0b

Counts

57 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

12.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
14.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
69.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	494	1442
1	2344	1386
2	5002	1384

prune207.0ms

Filtered

152 candidates to 96 candidates (63.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Merged error: 0b

Counts

158 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
4×	`pow1` `flip3-+` `associate-r` `associate-/r*` `associate-/r/` `flip-+`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 77

Calls

2 calls:

5.0ms	(/ x (+ x 1.0))
14.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ x (+ x 1.0))
42.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	461	516
1	1966	468
2	5002	468

prune125.0ms

Filtered

83 candidates to 59 candidates (71.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
12.3b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `times-frac`
6×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `associate-/r*` `associate-/r/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`frac-times` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `associate-l/` `clear-num` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 103

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
9.0ms	(* x (+ (/ x y) 1.0))
17.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x x) (* 1.0 1.0))
32.0ms	(* x (+ (/ x y) 1.0))
79.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
72.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify122.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	541	1012
1	3112	864
2	5002	863

prune192.0ms

Filtered

115 candidates to 81 candidates (70.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0b

Counts

121 → 6

regimes63.0ms

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	11	5
1	11	5

end0.0ms

sample433.0ms

Algorithm

intervals

Results

284.0ms

9101×

body

valid