Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

293×

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: 9.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite51.0ms

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:

30.0ms	(* x (+ (/ x y) 1.0))
19.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series72.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (40.0ms)

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

prune109.0ms

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

rewrite55.0ms

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:

25.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
22.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (50.0ms)

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

prune311.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

58.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
10.0ms	(cbrt (+ (/ x y) 1.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
245.0ms	(cbrt (+ (/ x y) 1.0))
238.0ms	(cbrt (+ (/ x y) 1.0))
242.0ms	(cbrt (+ (/ x y) 1.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	203	858
1	628	805
2	2438	732
3	5001	719

prune266.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0)))
0.2b	(* (/ x y) (/ x y))
4.3b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
5.6b	(* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
76×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
54×	`add-cube-cbrt`
35×	`associate-l`
32×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
13×	`pow1` `swap-sqr`
11×	`difference-of-squares`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/r/` `distribute-lft-out`
8×	`prod-exp` `cbrt-unprod`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--` `unswap-sqr`
5×	`frac-times` `associate-r/` `associate-/r`
4×	`add-log-exp`
3×	`associate-*l/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `flip3-+` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+` `distribute-lft-out--`

Counts

4 → 187

Calls

4 calls:

19.0ms	(/ x (* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0)))
13.0ms	(* (/ x y) (/ x y))
19.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
77.0ms	(* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

series281.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ x (* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0)))
35.0ms	(* (/ x y) (/ x y))
74.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
98.0ms	(* (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	853	1975
1	4573	1745
2	5001	1741

prune425.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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	10	5
1	10	5

end0.0ms

sample433.0ms

Algorithm

intervals

Results

273.0ms

9086×

body

valid