Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

296×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
10.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite46.0ms

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:

29.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* 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 (39.0ms)

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

prune102.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

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))

rewrite52.0ms

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:

22.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (48.0ms)

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

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (+ (/ x y) 1.0))
2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))

series515.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt (+ (/ x y) 1.0))
97.0ms	(cbrt (+ x 1.0))
87.0ms	(cbrt (+ x 1.0))
91.0ms	(cbrt (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	249	469
1	641	441
2	2137	404
3	5002	400

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
6.0b	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
89×	`*-un-lft-identity`
44×	`cbrt-prod`
39×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`associate-/r*`
25×	`add-exp-log` `distribute-lft-out`
22×	`cbrt-div`
18×	`add-cbrt-cube`
11×	`flip3-+` `flip-+`
10×	`associate-*r/`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-*l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 142

Calls

4 calls:

7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
77.0ms	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

series784.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (+ (/ x y) 1.0))
237.0ms	(cbrt (+ (/ x y) 1.0))
252.0ms	(cbrt (+ (/ x y) 1.0))
48.0ms	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	636	2166
1	2951	1905
2	5001	1754

prune379.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample371.0ms

Algorithm

intervals

Results

233.0ms

9179×

body

valid