Details

sample31.0ms

Algorithm

intervals

Results

22.0ms

289×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
5.9b	(/ (* 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` `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:

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
45.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	306	352
1	1568	305
2	5001	304

prune122.0ms

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))

rewrite50.0ms

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:

22.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (55.0ms)

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

prune287.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`-un-lft-identity` `associate-l*`
15×	`add-sqr-sqrt`
13×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r` `distribute-lft-out`
3×	`pow1` `flip3-+` `flip-+`
2×	`frac-times` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

44.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	409	354
1	1677	319
2	5001	317

prune99.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
0.2b	(* (/ x y) (/ x y))
3.4b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
5.3b	(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
237×	`*-un-lft-identity`
221×	`add-sqr-sqrt`
161×	`add-cube-cbrt`
84×	`associate-l`
74×	`add-exp-log`
44×	`add-cbrt-cube`
39×	`difference-of-squares`
37×	`associate-r`
33×	`div-exp` `distribute-lft-out`
26×	`associate-/r*`
20×	`associate-/r/`
18×	`prod-exp`
17×	`cbrt-undiv`
15×	`div-inv`
14×	`pow1` `unswap-sqr`
13×	`swap-sqr`
10×	`cbrt-unprod`
9×	`flip3--` `flip--`
7×	`associate-/l*`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--`
2×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `pow-flip` `flip3-+` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+` `inv-pow`

Counts

4 → 364

Calls

4 calls:

21.0ms	(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
15.0ms	(* (/ x y) (/ x y))
17.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
105.0ms	(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
27.0ms	(* (/ x y) (/ x y))
76.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
88.0ms	(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1487	4717
1	5001	4316

prune780.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample805.0ms

Algorithm

intervals

Results

647.0ms

9155×

body

valid