Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	8
4	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.6b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 146

Calls

3 calls:

34.0ms	(* (+ x y) (+ x y))
114.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
68.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (+ x y) (+ x y))
35.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
145.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	934	1519
1	5002	1370

prune653.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.9b	(/ x (* (+ x y) (+ x y)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
31×	`add-exp-log` `add-cbrt-cube`
25×	`times-frac` `associate-r`
20×	`add-cube-cbrt`
19×	`flip3-+` `associate-l` `flip-+`
18×	`associate-/r/`
15×	`distribute-lft-out`
13×	`frac-times`
12×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr`
5×	`unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`pow-prod-down` `*-commutative`
1×	`pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-plus` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up`

Counts

3 → 139

Calls

3 calls:

32.0ms	(* (+ x y) (+ x y))
129.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.0ms	(/ x (* (+ x y) (+ x y)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (+ x y) (+ x y))
144.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
59.0ms	(/ x (* (+ x y) (+ x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	644	1092
1	3437	960
2	5001	949

prune529.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
264×	`*-un-lft-identity`
142×	`add-sqr-sqrt`
121×	`add-cube-cbrt`
78×	`associate-l`
73×	`distribute-lft-out`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r/`
21×	`associate-r`
18×	`associate-/l*`
12×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`pow1` `associate-/r*`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

2 → 244

Calls

2 calls:

27.0ms	(/ (/ x (+ x y)) (+ x y))
148.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (/ x (+ x y)) (+ x y))
148.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	962	2395
1	4345	2215
2	5002	2207

prune963.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.7b	(cbrt (/ x (+ x y)))
5.7b	(cbrt (/ x (+ x y)))
5.7b	(cbrt (/ x (+ x y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

56.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))

series650.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
110.0ms	(cbrt (/ x (+ x y)))
111.0ms	(cbrt (/ x (+ x y)))
302.0ms	(cbrt (/ x (+ x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	269	1752
1	867	1700
2	3177	1620
3	5002	1615

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	17
1	16	17

end0.0ms

sample510.0ms

Algorithm

intervals

Results

365.0ms

8000×

body

valid