Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

353×

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

Filtered

1 candidates to 0 candidates (0.0%)

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)

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)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x 3.0) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (50.0ms)

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

prune29.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

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)))
15.9b	(sqrt (* (* x 3.0) x))
15.9b	(sqrt (* (* x 3.0) x))

rewrite64.0ms

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:

7.0ms	(* (* x 3.0) x)
42.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
6.0ms	(sqrt (* (* x 3.0) x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 3.0) x)
70.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
36.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(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

prune148.0ms

Filtered

128 candidates to 57 candidates (44.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
15.9b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
15.9b	(sqrt (* (* x 3.0) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 57

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
51.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
6.0ms	(sqrt (* (* x 3.0) x))

series455.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
176.0ms	(cbrt x)
67.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
34.0ms	(sqrt (* (* x 3.0) x))

simplify129.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	89	252
1	208	237
2	628	183
3	3639	183
4	5003	183

prune177.0ms

Filtered

69 candidates to 53 candidates (76.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
15.9b	(sqrt (* (* x 3.0) x))
15.9b	(sqrt (* (* (* x 3.0) (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))) (cbrt x)))

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

53×	`pow1`
36×	`pow-prod-down`
13×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 61

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(sqrt (* (* x 3.0) x))
566.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))) (cbrt x)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
184.0ms	(cbrt x)
34.0ms	(sqrt (* (* x 3.0) x))
70.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))) (cbrt x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	96	336
1	258	314
2	968	190
3	5002	190

prune186.0ms

Filtered

73 candidates to 52 candidates (71.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes65.0ms

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

sample237.0ms

Algorithm

intervals

Results

135.0ms

10658×

body

valid