Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

293×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	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

localize9.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `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 → 54

Calls

2 calls:

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

series80.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (+ (/ x y) 1.0))
40.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	306	352
1	1568	305
2	5001	304

prune103.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 0.0b

Counts

61 → 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))

rewrite30.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	504	1464
1	2390	1406
2	5002	1404

prune204.0ms

Filtered

156 candidates to 100 candidates (64.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	156	6	162

Merged error: 0.0b

Counts

162 → 6

localize7.0ms

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))

rewrite23.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 91

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))

series84.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x (/ x y)) (* x 1.0))
17.0ms	(* x (/ x y))
40.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	404	663
1	1903	601
2	5001	596

prune153.0ms

Filtered

100 candidates to 73 candidates (73.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0b

Counts

106 → 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)))

rewrite74.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 448

Calls

3 calls:

5.0ms	(/ (+ x 1.0) x)
14.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
26.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (+ x 1.0) x)
78.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
47.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

457 → 457

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1188	5498
1	5001	4969

prune509.0ms

Filtered

457 candidates to 229 candidates (50.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	457	6	463

Merged error: 0b

Counts

463 → 6

regimes43.0ms

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

sample389.0ms

Algorithm

intervals

Results

240.0ms

9129×

body

valid