Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

293×

body

valid

simplify96.0ms

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

prune3.0ms

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: 7.3b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
6.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series77.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
23.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	301	391
1	1508	339
2	5001	337

prune124.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
20.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
60.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	499	1501
1	2349	1440
2	5002	1438

prune216.0ms

Filtered

167 candidates to 105 candidates (62.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	167	6	173

Merged error: 0b

Counts

173 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)))
6.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
6.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
6.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
16×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt` `associate-/r*`
10×	`cbrt-prod`
8×	`associate-/r/`
7×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`cbrt-div` `pow1/3`

Counts

4 → 100

Calls

4 calls:

9.0ms	(cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
15.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series320.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)))
39.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
40.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	380	924
1	1577	805
2	5002	786

prune246.0ms

Filtered

112 candidates to 85 candidates (75.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize9.0ms

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)))
3.8b	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

rewrite58.0ms

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)))
17.0ms	(* (* 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))

series248.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (+ (/ x y) 1.0))
103.0ms	(* x (sqrt (+ (/ x y) 1.0)))
25.0ms	(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
44.0ms	(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (53.0ms)

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

prune187.0ms

Filtered

118 candidates to 76 candidates (64.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	118	6	124

Merged error: 0b

Counts

124 → 6

regimes74.0ms

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

sample567.0ms

Algorithm

intervals

Results

421.0ms

9079×

body

valid