Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

408×

body

valid

simplify269.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

2.0ms	(+ (* x y) (* z z))
11.0ms	(+ (+ (* x y) (* z z)) (* z z))
47.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* z z))
48.0ms	(+ (+ (* x y) (* z z)) (* z z))
46.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify121.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	215	352
1	978	316
2	3975	293
3	5001	282

prune105.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

56.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
138.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
133.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
152.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	300	1437
1	974	1342
2	3797	1237
3	5001	1226

prune277.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
3.9b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

202.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
25.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
28.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
25.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series580.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
140.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
134.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
141.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	304	1819
1	1014	1696
2	4348	1559
3	5001	1549

prune299.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
142.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
137.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
139.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	166	744
1	435	692
2	1365	664
3	5002	660

prune257.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample547.0ms

Algorithm

intervals

Results

304.0ms

12177×

body

valid