Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

293×

body

valid

simplify65.0ms

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: 9.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite21.0ms

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:

9.0ms	(* x (+ (/ x y) 1.0))
11.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series66.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (38.0ms)

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

prune94.0ms

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: 0.0b

Counts

57 → 6

localize7.0ms

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))

rewrite29.0ms

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)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (52.0ms)

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

prune205.0ms

Filtered

152 candidates to 96 candidates (63.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Merged error: 0.0b

Counts

158 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ x y)) (* x 1.0))
0.1b	(* x (/ x y))
9.0b	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `times-frac`
21×	`add-cube-cbrt`
13×	`associate-r`
11×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 84

Calls

3 calls:

5.0ms	(+ (* x (/ x y)) (* x 1.0))
6.0ms	(* x (/ x y))
10.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series89.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x (/ x y)) (* x 1.0))
18.0ms	(* x (/ x y))
44.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	390	634
1	1859	571
2	5001	566

prune146.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0b

Counts

99 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.2b	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
0.3b	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

794×	`times-frac`
632×	`*-un-lft-identity`
336×	`add-sqr-sqrt` `add-cube-cbrt`
148×	`distribute-lft-out`
77×	`associate-/r*`
31×	`add-exp-log`
28×	`div-inv`
23×	`associate-/l*`
19×	`div-exp` `add-cbrt-cube`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3-+` `flip-+`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 442

Calls

3 calls:

5.0ms	(/ (+ x 1.0) x)
14.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
23.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (+ x 1.0) x)
81.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
55.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1175	5469
1	5001	4942

prune504.0ms

Filtered

451 candidates to 223 candidates (49.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	451	6	457

Merged error: 0b

Counts

457 → 6

regimes45.0ms

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	10	5
1	10	5

end0.0ms

sample402.0ms

Algorithm

intervals

Results

255.0ms

9129×

body

valid