Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

334×

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

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)

rewrite17.0ms

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:

16.0ms

(* (* x 3.0) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 3.0) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (5.0ms)

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

prune27.0ms

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)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
15.6b	(sqrt (* (* x 3.0) x))
15.6b	(sqrt (* (* x 3.0) x))

rewrite135.0ms

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:

16.0ms	(* (* x 3.0) x)
88.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
15.0ms	(sqrt (* (* x 3.0) x))
12.0ms	(sqrt (* (* x 3.0) x))

series175.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
77.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
34.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	177	386
1	991	307
2	5001	296

prune147.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

15.6b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
16.2b	(cbrt (* (* x 3.0) x))
16.2b	(cbrt (* (* x 3.0) x))
16.2b	(cbrt (* (* x 3.0) x))

rewrite85.0ms

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:

45.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
14.0ms	(cbrt (* (* x 3.0) x))
12.0ms	(cbrt (* (* x 3.0) x))
12.0ms	(cbrt (* (* x 3.0) x))

series793.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
224.0ms	(cbrt (* (* x 3.0) x))
229.0ms	(cbrt (* (* x 3.0) x))
223.0ms	(cbrt (* (* x 3.0) x))

simplify93.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (15.0ms)

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

prune151.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)
15.6b	(sqrt (* (* x 3.0) x))
16.2b	(cbrt (* (* x 3.0) x))

rewrite101.0ms

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×	`associate-l` `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 → 67

Calls

4 calls:

67.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
5.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
12.0ms	(sqrt (* (* x 3.0) x))
15.0ms	(cbrt (* (* x 3.0) x))

series801.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
386.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
35.0ms	(sqrt (* (* x 3.0) x))
223.0ms	(cbrt (* (* x 3.0) x))

simplify161.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	180	525
1	665	485
2	3718	485
3	5003	468

prune181.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

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

sample275.0ms

Algorithm

intervals

Results

132.0ms

10628×

body

valid