Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

13.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	192	297
1	547	283
2	1899	283
3	5001	280

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (- x y) (+ x y))))
0.0b	(/ (- x y) (+ x y))
0.4b	(expm1 (/ (- x y) (+ x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `log1p-expm1-u`
3×	`pow1` `expm1-log1p-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `div-sub` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 70

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (- x y) (+ x y))))
13.0ms	(/ (- x y) (+ x y))
0.0ms	(expm1 (/ (- x y) (+ x y)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(log1p (expm1 (/ (- x y) (+ x y))))
80.0ms	(/ (- x y) (+ x y))
115.0ms	(expm1 (/ (- x y) (+ x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	223	415
1	592	385
2	1950	385
3	5001	382

prune193.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/l*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/r*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
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 → 285

Calls

4 calls:

64.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
16.0ms	(/ (- x y) (+ x y))
13.0ms	(/ (- x y) (+ x y))
13.0ms	(/ (- x y) (+ x y))

series410.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
80.0ms	(/ (- x y) (+ x y))
73.0ms	(/ (- x y) (+ x y))
80.0ms	(/ (- x y) (+ x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	381	2862
1	1300	2782
2	5001	2605

prune741.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
0.1b	(pow (cbrt (cbrt (/ (- x y) (+ x y)))) 4)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
88×	`add-sqr-sqrt`
80×	`times-frac`
55×	`cbrt-prod`
50×	`add-cube-cbrt`
32×	`unpow-prod-down`
23×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/l*`
12×	`associate-/r*`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-/r/`
6×	`associate-/l/`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 193

Calls

4 calls:

13.0ms	(/ (- x y) (+ x y))
13.0ms	(/ (- x y) (+ x y))
13.0ms	(/ (- x y) (+ x y))
273.0ms	(pow (cbrt (cbrt (/ (- x y) (+ x y)))) 4)

series613.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (- x y) (+ x y))
75.0ms	(/ (- x y) (+ x y))
75.0ms	(/ (- x y) (+ x y))
391.0ms	(pow (cbrt (cbrt (/ (- x y) (+ x y)))) 4)

simplify190.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	432	1477
1	1217	1421
2	4782	1399
3	5001	1399

prune691.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes71.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample282.0ms

Algorithm

intervals

Results

156.0ms

8000×

body

valid