Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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)

rewrite8.0ms

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)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* (* x 3.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

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

prune35.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

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)))
17.0b	(sqrt (* (* x 3.0) x))
17.0b	(sqrt (* (* x 3.0) x))

rewrite66.0ms

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)))
6.0ms	(sqrt (* (* x 3.0) x))
6.0ms	(sqrt (* (* x 3.0) x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 3.0) x)
69.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
41.0ms	(sqrt (* (* x 3.0) x))
35.0ms	(sqrt (* (* x 3.0) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (39.0ms)

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

prune164.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
17.0b	(sqrt (* (* x 3.0) x))
17.0b	(sqrt (* (* x 3.0) x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
14×	`sqrt-pow1`
12×	`pow-prod-down` `sqrt-prod`
10×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`unpow-prod-down` `pow-pow` `cube-prod`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `prod-exp` `cbrt-unprod`
1×	`cube-mult` `pow-to-exp` `unpow3` `associate-l` `pow-exp` `*-commutative` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

7.0ms	(* (* x 3.0) x)
8.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
6.0ms	(sqrt (* (* x 3.0) x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 3.0) x)
201.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
35.0ms	(sqrt (* (* x 3.0) x))
41.0ms	(sqrt (* (* x 3.0) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	336	469
1	1440	425
2	5001	402

prune221.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
17.8b	(cbrt (* (* x 3.0) x))
17.8b	(cbrt (* (* x 3.0) x))
17.8b	(cbrt (* (* x 3.0) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

8.0ms	(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
8.0ms	(cbrt (* (* x 3.0) x))
5.0ms	(cbrt (* (* x 3.0) x))
5.0ms	(cbrt (* (* x 3.0) x))

series941.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
223.0ms	(cbrt (* (* x 3.0) x))
225.0ms	(cbrt (* (* x 3.0) x))
227.0ms	(cbrt (* (* x 3.0) x))

simplify68.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	109	424
1	400	373
2	1903	340
3	5001	335

prune148.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes59.0ms

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

sample362.0ms

Algorithm

intervals

Results

253.0ms

10683×

body

valid