Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

320×

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: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite18.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

17.0ms

(* (* x 3.0) x)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (* x 3.0) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune24.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.9b	(sqrt (* (* x 3.0) x))
17.9b	(sqrt (* (* x 3.0) x))

rewrite137.0ms

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×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

18.0ms	(* (* x 3.0) x)
88.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
12.0ms	(sqrt (* (* x 3.0) x))
15.0ms	(sqrt (* (* x 3.0) x))

series163.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 3.0) x)
68.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune119.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

17.9b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
18.7b	(cbrt (* (* x 3.0) x))
18.7b	(cbrt (* (* x 3.0) x))
18.7b	(cbrt (* (* x 3.0) x))

rewrite84.0ms

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` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 51

Calls

4 calls:

46.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
11.0ms	(cbrt (* (* x 3.0) x))
14.0ms	(cbrt (* (* x 3.0) x))
12.0ms	(cbrt (* (* x 3.0) x))

series742.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
220.0ms	(cbrt (* (* x 3.0) x))
209.0ms	(cbrt (* (* x 3.0) x))
203.0ms	(cbrt (* (* x 3.0) x))

simplify85.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	86	296
1	220	264
2	1196	258
3	5001	258

prune140.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))))
17.9b	(sqrt (* (* x 3.0) x))
18.7b	(cbrt (* (* x 3.0) x))
18.7b	(cbrt (* (* x 3.0) x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`pow-prod-down` `add-log-exp`
3×	`cbrt-prod` `sqrt-pow1` `associate-l`
2×	`pow1/3` `unswap-sqr`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 53

Calls

4 calls:

20.0ms	(* (fabs (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))))
12.0ms	(sqrt (* (* x 3.0) x))
12.0ms	(cbrt (* (* x 3.0) x))
12.0ms	(cbrt (* (* x 3.0) x))

series722.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (fabs (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))))
39.0ms	(sqrt (* (* x 3.0) x))
214.0ms	(cbrt (* (* x 3.0) x))
213.0ms	(cbrt (* (* x 3.0) x))

simplify126.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	148	459
1	419	417
2	1379	411
3	4843	411
4	5002	411

prune144.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.2b 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

sample277.0ms

Algorithm

intervals

Results

132.0ms

10688×

body

valid