Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

354×

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)

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:

6.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* 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

prune32.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(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:

6.0ms	(* (* x 3.0) x)
41.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series172.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 3.0) x)
71.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
40.0ms	(sqrt (* (* x 3.0) x))
35.0ms	(sqrt (* (* x 3.0) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (38.0ms)

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

prune163.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

18.6b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
19.3b	(cbrt (* (* x 3.0) x))
19.3b	(cbrt (* (* x 3.0) x))
19.3b	(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))

series780.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
219.0ms	(cbrt (* (* x 3.0) x))
225.0ms	(cbrt (* (* x 3.0) x))
224.0ms	(cbrt (* (* x 3.0) x))

simplify93.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	92	346
1	233	314
2	1293	308
3	5001	308

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize194.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
0.4b	(pow (cbrt (* (* x 3.0) x)) 3/2)
18.6b	(sqrt (* (* x 3.0) x))
19.3b	(cbrt (* (* x 3.0) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

27.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
2.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(cbrt (* (* x 3.0) x))

series767.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
374.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
32.0ms	(sqrt (* (* x 3.0) x))
213.0ms	(cbrt (* (* x 3.0) x))

simplify143.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	188	577
1	674	532
2	3660	531
3	5001	514

prune184.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes58.0ms

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

sample371.0ms

Algorithm

intervals

Results

258.0ms

10586×

body

valid