Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

288×

body

valid

simplify66.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite79.0ms

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:

48.0ms	(* x (+ (/ x y) 1.0))
30.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* x (+ (/ x y) 1.0))
40.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (39.0ms)

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

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

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))

rewrite80.0ms

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:

35.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
38.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
60.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (49.0ms)

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

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ x y) (/ x y))
0.5b	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
5.8b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
10.7b	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

1482×	`times-frac`
895×	`add-sqr-sqrt`
877×	`*-un-lft-identity`
523×	`add-cube-cbrt`
249×	`difference-of-squares`
105×	`distribute-lft-out`
78×	`associate-/l*`
72×	`distribute-lft-out--`
62×	`associate-/r/`
39×	`div-inv`
32×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
27×	`flip3--` `flip--`
14×	`cbrt-undiv` `div-exp`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 735

Calls

4 calls:

22.0ms	(* (/ x y) (/ x y))
40.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
39.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
96.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series435.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (/ x y) (/ x y))
264.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
69.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
79.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify174.0ms

Algorithm

egg-herbie

Counts

747 → 747

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2679	15205
1	5001	14896

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

4.5b	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
5.7b	(/ (pow x 3) y)
8.1b	(/ (pow x 2) y)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
58×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
45×	`add-cube-cbrt`
25×	`unpow-prod-down`
20×	`associate-/l*`
13×	`add-exp-log` `cube-prod`
9×	`sqr-pow`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`cube-mult` `unpow3` `unpow2`
3×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `pow-exp` `clear-num` `frac-sub` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 137

Calls

3 calls:

163.0ms	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
9.0ms	(/ (pow x 3) y)
9.0ms	(/ (pow x 2) y)

series63.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
19.0ms	(/ (pow x 3) y)
17.0ms	(/ (pow x 2) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	424	820
1	2056	768
2	5001	743

prune252.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes59.0ms

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

sample412.0ms

Algorithm

intervals

Results

220.0ms

9134×

body

valid