Details

sample11.0ms

Algorithm

intervals

Results

3.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify104.0ms

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

prune4.0ms

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)) (* x x))
0.1b	(* x (* x x))

rewrite13.0ms

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:

6.0ms	(+ (* x (* x x)) (* x x))
5.0ms	(* x (* x x))

series99.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x (* x x)) (* x x))
32.0ms	(* x (* x x))

simplify90.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (87.0ms)

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

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
30.7b	(cbrt (+ (* x (* x x)) (* x x)))
30.7b	(cbrt (+ (* x (* x x)) (* x x)))
30.7b	(cbrt (+ (* x (* x x)) (* x x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-lft1-in` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

17.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
62.0ms	(cbrt (+ (* x (* x x)) (* x x)))
46.0ms	(cbrt (+ (* x (* x x)) (* x x)))
51.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	314	1346
1	1180	1247
2	5001	1178

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x (* x x)) (* x x))) (* (cbrt (+ x 1)) (cbrt (* x x))))
30.7b	(cbrt (* x x))
30.7b	(cbrt (+ (* x (* x x)) (* x x)))
30.7b	(cbrt (+ (* x (* x x)) (* x x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
16×	`cbrt-div`
9×	`pow1` `add-exp-log`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `flip3-+` `associate-l` `associate-l/` `flip-+`
6×	`pow1/3`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`frac-times` `distribute-lft1-in` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`associate-*r/`
1×	`swap-sqr` `associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

15.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (* (cbrt (+ x 1)) (cbrt (* x x))))
2.0ms	(cbrt (* x x))
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (* (cbrt (+ x 1)) (cbrt (* x x))))
173.0ms	(cbrt (* x x))
48.0ms	(cbrt (+ (* x (* x x)) (* x x)))
46.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	405	903
1	1452	829
2	5001	819

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x x) x))
5.1b	(pow x 1/3)
30.7b	(cbrt (+ (* x (* x x)) (* x x)))
30.7b	(cbrt (+ (* x (* x x)) (* x x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `distribute-lft1-in` `flip3-+` `pow1/3` `flip-+`
2×	`distribute-lft-out`
1×	`pow-to-exp` `distribute-rgt-out` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (+ (* x x) x))
2.0ms	(pow x 1/3)
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))
6.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ (* x x) x))
212.0ms	(pow x 1/3)
74.0ms	(cbrt (+ (* x (* x x)) (* x x)))
50.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	340	539
1	1247	498
2	5001	488

prune221.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes31.0ms

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	4
1	6	4

end0.0ms

sample257.0ms

Algorithm

intervals

Results

105.0ms	8000×	body	80	valid
66.0ms	8000×	pre	80	true