Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

290×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
12.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite28.0ms

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:

11.0ms	(* x (+ (/ x y) 1.0))
15.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series82.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ (* 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

prune138.0ms

Pruning

6 alts after pruning (6 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))

rewrite36.0ms

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:

15.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
13.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series129.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
74.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (64.0ms)

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

prune320.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
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 → 460

Calls

3 calls:

18.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
12.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
34.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series216.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
75.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
48.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify102.0ms

Algorithm

egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1298	5782
1	5002	5246

prune855.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
0.3b	(* (/ x y) (/ x y))
5.3b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
5.8b	(/ (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (- (/ x y) 1.0) x))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

5882×	`times-frac`
3063×	`add-sqr-sqrt`
2997×	`*-un-lft-identity`
1971×	`add-cube-cbrt`
729×	`difference-of-squares`
297×	`distribute-lft-out`
216×	`distribute-lft-out--`
175×	`div-inv`
173×	`associate-/r/`
78×	`associate-/l*`
74×	`add-exp-log` `flip3--` `flip--`
48×	`associate-/r*`
47×	`div-exp`
44×	`add-cbrt-cube`
23×	`cbrt-undiv`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`pow1`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `pow-flip` `flip3-+` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `inv-pow`

Counts

4 → 1914

Calls

4 calls:

17.0ms	(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
12.0ms	(* (/ x y) (/ x y))
13.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
78.0ms	(/ (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (- (/ x y) 1.0) x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
29.0ms	(* (/ x y) (/ x y))
82.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
96.0ms	(/ (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (- (/ x y) 1.0) x))

simplify496.0ms

Algorithm

egg-herbie

Counts

1926 → 1926

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5001	51121

prune5.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample396.0ms

Algorithm

intervals

Results

237.0ms

9077×

body

valid