Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

23.0ms

(/ (+ x y) (- x y))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(/ (+ x y) (- x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune72.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.1b	(pow (/ (+ x y) (- x y)) 3)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

25.0ms	(/ (+ x y) (- x y))
19.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
19.0ms	(pow (/ (+ x y) (- x y)) 3)

series190.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (+ x y) (- x y))
75.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
63.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	482	1409
1	2128	1316
2	5002	1298

prune230.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

312×	`*-un-lft-identity`
188×	`times-frac`
164×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
55×	`distribute-lft-out`
48×	`swap-sqr`
46×	`distribute-lft-out--`
34×	`difference-of-squares`
26×	`cbrt-prod` `associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/r/`
11×	`pow1`
10×	`associate-/r*`
8×	`associate-/l*`
7×	`flip3--` `flip--` `div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`pow2` `frac-times` `cbrt-div` `pow-plus` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 253

Calls

4 calls:

25.0ms	(/ (+ x y) (- x y))
23.0ms	(/ (+ x y) (- x y))
9.0ms	(cbrt (/ (+ x y) (- x y)))
83.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ x y) (- x y))
57.0ms	(/ (+ x y) (- x y))
185.0ms	(cbrt (/ (+ x y) (- x y)))
65.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	569	2325
1	2776	2151
2	5002	2036

prune482.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))
0.0b	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))
0.0b	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

674×	`*-un-lft-identity`
404×	`times-frac`
322×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
144×	`swap-sqr`
119×	`distribute-lft-out`
100×	`distribute-lft-out--`
78×	`associate-r` `associate-l`
64×	`difference-of-squares`
40×	`add-exp-log` `add-cbrt-cube`
26×	`cbrt-prod` `associate-/r/`
25×	`pow1`
13×	`flip3--` `flip--` `div-inv`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`cbrt-div` `pow1/3`

Counts

4 → 419

Calls

4 calls:

10.0ms	(cbrt (/ (+ x y) (- x y)))
79.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))
81.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))
84.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (/ (+ x y) (- x y)))
60.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))
62.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))
67.0ms	(* (/ (+ x y) (- x y)) (/ (+ x y) (- x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

431 → 431

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	533	4587
1	2502	4171
2	5003	3870

prune883.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	46
1	27	46

end0.0ms

sample305.0ms

Algorithm

intervals

Results

145.0ms

8000×

body

valid