Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

294×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite22.0ms

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

series68.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (37.0ms)

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

prune86.0ms

Filtered

56 candidates to 38 candidates (67.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

13.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (55.0ms)

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

prune192.0ms

Filtered

152 candidates to 95 candidates (62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	152	4	156

Merged error: 0b

Counts

156 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
43.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	328	616
1	1518	563
2	5001	558

prune107.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ x y) 1.0))
0.1b	(* x (sqrt (+ (/ x y) 1.0)))
0.1b	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
5.7b	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-div`
22×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
17×	`add-sqr-sqrt`
15×	`flip3-+` `flip-+`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1` `add-cube-cbrt`
8×	`frac-times` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
5×	`distribute-lft-out`
4×	`times-frac` `associate-l` `pow-prod-down` `associate-l/` `associate-/r` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

6.0ms	(sqrt (+ (/ x y) 1.0))
10.0ms	(* x (sqrt (+ (/ x y) 1.0)))
20.0ms	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
21.0ms	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

series245.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (+ (/ x y) 1.0))
101.0ms	(* x (sqrt (+ (/ x y) 1.0)))
28.0ms	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
41.0ms	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	474	1024
1	2359	848
2	5001	822

prune183.0ms

Filtered

118 candidates to 77 candidates (65.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	118	4	122

Merged error: 0b

Counts

122 → 4

regimes33.0ms

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

sample375.0ms

Algorithm

intervals

Results

230.0ms

9120×

body

valid