Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

318×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

19.0ms

(/ (- (* x x) 3.0) 6.0)

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ (- (* x x) 3.0) 6.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	175	222
1	562	208
2	2219	208
3	5001	208

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 0.16666666666666666 (pow x 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

11.0ms

(* 0.16666666666666666 (pow x 2))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (pow x 2))
0.4b	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 56

Calls

2 calls:

14.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
29.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
71.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify150.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	168	308
1	717	259
2	3908	249
3	5001	248

prune97.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* x (sqrt 0.16666666666666666))
0.3b	(* (fabs (* x (sqrt 0.16666666666666666))) (fabs (* x (sqrt 0.16666666666666666))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`associate-r`
14×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `associate-l` `add-cbrt-cube`
8×	`sqrt-prod`
5×	`unswap-sqr`
3×	`swap-sqr` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

3 → 69

Calls

3 calls:

9.0ms	(* x (sqrt 0.16666666666666666))
9.0ms	(* x (sqrt 0.16666666666666666))
7.0ms	(* (fabs (* x (sqrt 0.16666666666666666))) (fabs (* x (sqrt 0.16666666666666666))))

series114.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* x (sqrt 0.16666666666666666))
45.0ms	(* x (sqrt 0.16666666666666666))
29.0ms	(* (fabs (* x (sqrt 0.16666666666666666))) (fabs (* x (sqrt 0.16666666666666666))))

simplify65.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	127	351
1	485	306
2	2112	290
3	5002	283

prune128.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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	9	8
1	9	8

end0.0ms

sample321.0ms

Algorithm

intervals

Results

176.0ms

10678×

body

valid