Details

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) x)
0.0b	(* x (+ (* x x) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-out` `distribute-lft1-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

3.0ms	(+ (* x x) x)
11.0ms	(* x (+ (* x x) x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x x) x)
63.0ms	(* x (+ (* x x) x))

simplify119.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	147	175
1	799	152
2	3842	148
3	5001	147

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+ (* x (* x x)) (* x x))
6.0ms	(* x (* x x))

series98.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x (* x x)) (* x x))
34.0ms	(* x (* x x))

simplify94.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	158	147
1	646	107
2	2546	106
3	5002	102

prune56.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x x) x))
0.0b	(sqrt (+ (* x x) x))
0.1b	(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
0.2b	(* x (sqrt (+ (* x x) x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `distribute-rgt-out` `distribute-lft1-in` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

4.0ms	(sqrt (+ (* x x) x))
4.0ms	(sqrt (+ (* x x) x))
29.0ms	(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
12.0ms	(* x (sqrt (+ (* x x) x)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (+ (* x x) x))
25.0ms	(sqrt (+ (* x x) x))
62.0ms	(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
43.0ms	(* x (sqrt (+ (* x x) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	313	702
1	1427	610
2	5001	600

prune184.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (* x x) x))) x)
0.2b	(* (* (fabs (cbrt (+ (* x x) x))) x) (sqrt (cbrt (+ (* x x) x))))
0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`-un-lft-identity` `associate-r*`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
8×	`sqrt-prod`
6×	`cbrt-div`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-rgt-out` `distribute-lft1-in` `flip3-+` `flip-+`
2×	`pow1/3` `sqrt-div` `associate-r/` `-commutative`
1×	`unswap-sqr`

Counts

4 → 76

Calls

4 calls:

3.0ms	(* (fabs (cbrt (+ (* x x) x))) x)
15.0ms	(* (* (fabs (cbrt (+ (* x x) x))) x) (sqrt (cbrt (+ (* x x) x))))
2.0ms	(cbrt (+ (* x x) x))
3.0ms	(cbrt (+ (* x x) x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (fabs (cbrt (+ (* x x) x))) x)
55.0ms	(* (* (fabs (cbrt (+ (* x x) x))) x) (sqrt (cbrt (+ (* x x) x))))
36.0ms	(cbrt (+ (* x x) x))
34.0ms	(cbrt (+ (* x x) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	415	816
1	1824	730
2	5001	719

prune251.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample453.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
110.0ms	8000×	pre	80	true