Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

289×

body

valid

simplify67.0ms

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: 10.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.9b	(/ (* 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))

series72.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (43.0ms)

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

prune108.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

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` `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))

series112.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
68.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (51.0ms)

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

prune268.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

5.0ms	(/ x (+ x 1.0))
14.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x (+ x 1.0))
46.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	461	516
1	1934	468
2	5001	464

prune157.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ x y) (/ x y))
0.3b	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
6.3b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
11.3b	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite137.0ms

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:

10.0ms	(* (/ x y) (/ x y))
14.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
11.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
34.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series267.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (/ x y) (/ x y))
81.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
74.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
82.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify177.0ms

Algorithm

egg-herbie

Counts

747 → 747

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2679	15205
1	5001	14896

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample396.0ms

Algorithm

intervals

Results

254.0ms

9146×

body

valid