Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

343×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x 3.0) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* x 3.0) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune33.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.3b	(sqrt (* (* x 3.0) x))
17.3b	(sqrt (* (* x 3.0) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

9.0ms	(* (* x 3.0) x)
38.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 3.0) x)
67.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
36.0ms	(sqrt (* (* x 3.0) x))
32.0ms	(sqrt (* (* x 3.0) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	183	396
1	948	335
2	5001	324

prune146.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

17.3b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
18.0b	(cbrt (* (* x 3.0) x))
18.0b	(cbrt (* (* x 3.0) x))
18.0b	(cbrt (* (* x 3.0) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 59

Calls

4 calls:

16.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
5.0ms	(cbrt (* (* x 3.0) x))
5.0ms	(cbrt (* (* x 3.0) x))
5.0ms	(cbrt (* (* x 3.0) x))

series757.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
220.0ms	(cbrt (* (* x 3.0) x))
215.0ms	(cbrt (* (* x 3.0) x))
212.0ms	(cbrt (* (* x 3.0) x))

simplify84.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	91	360
1	224	314
2	1282	308
3	5001	308

prune161.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

17.3b	(sqrt (* (* x 3.0) x))
17.3b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (* (cbrt (* x 3.0)) (cbrt x))))
18.0b	(cbrt (* (* x 3.0) x))
18.0b	(cbrt (* (* x 3.0) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
16×	`pow-prod-down`
14×	`pow1/3`
11×	`sqrt-pow1`
4×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-up`
2×	`cbrt-prod` `pow1/2` `sqrt-prod`
1×	`pow-sqr`

Counts

4 → 55

Calls

4 calls:

5.0ms	(sqrt (* (* x 3.0) x))
24.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (* (cbrt (* x 3.0)) (cbrt x))))
5.0ms	(cbrt (* (* x 3.0) x))
5.0ms	(cbrt (* (* x 3.0) x))

series598.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (* (* x 3.0) x))
131.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (* (cbrt (* x 3.0)) (cbrt x))))
219.0ms	(cbrt (* (* x 3.0) x))
215.0ms	(cbrt (* (* x 3.0) x))

simplify122.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	112	353
1	224	325
2	668	321
3	2184	321
4	5001	321

prune190.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample243.0ms

Algorithm

intervals

Results

137.0ms

10657×

body

valid