Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify108.0ms

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

prune3.0ms

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))

rewrite15.0ms

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))
7.0ms	(* x (* x x))

series102.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x (* x x)) (* x x))
35.0ms	(* x (* x x))

simplify92.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (89.0ms)

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

prune56.0ms

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)))

rewrite81.0ms

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:

59.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
7.0ms	(cbrt (+ (* x (* x x)) (* x x)))
7.0ms	(cbrt (+ (* x (* x x)) (* x x)))
7.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
48.0ms	(cbrt (+ (* x (* x x)) (* x x)))
44.0ms	(cbrt (+ (* x (* x x)) (* x x)))
49.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (36.0ms)

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

prune255.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

48.0ms	(* (* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ x 1))) (cbrt (* x x)))
1.0ms	(cbrt (* x x))
7.0ms	(cbrt (+ (* x (* x x)) (* x x)))
10.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ x 1))) (cbrt (* x x)))
180.0ms	(cbrt (* x x))
44.0ms	(cbrt (+ (* x (* x x)) (* x x)))
48.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	397	798
1	1485	718
2	5002	709

prune247.0ms

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)))

rewrite18.0ms

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:

3.0ms	(cbrt (+ (* x x) x))
1.0ms	(pow x 1/3)
7.0ms	(cbrt (+ (* x (* x x)) (* x x)))
7.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (+ (* x x) x))
169.0ms	(pow x 1/3)
50.0ms	(cbrt (+ (* x (* x x)) (* x x)))
48.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (39.0ms)

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

prune355.0ms

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

sample281.0ms

Algorithm

intervals

Results

116.0ms	8000×	body	80	valid
69.0ms	8000×	pre	80	true