Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

392×

body

valid

simplify279.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+ (* x y) (* z z))
110.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x y) (* z z))
49.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify93.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	179	246
1	805	211
2	3168	194
3	5001	194

prune116.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))

rewrite84.0ms

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:

57.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
8.0ms	(cbrt (+ (* x y) (* z z)))
8.0ms	(cbrt (+ (* x y) (* z z)))
8.0ms	(cbrt (+ (* x y) (* z z)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
131.0ms	(cbrt (+ (* x y) (* z z)))
125.0ms	(cbrt (+ (* x y) (* z z)))
124.0ms	(cbrt (+ (* x y) (* z z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	283	1023
1	1100	956
2	5002	880

prune277.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))

rewrite20.0ms

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:

5.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
5.0ms	(cbrt (+ (* x y) (* z z)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ (* x y) (* z z)))
127.0ms	(cbrt (+ (* x y) (* z z)))
128.0ms	(cbrt (+ (* x y) (* z z)))
133.0ms	(cbrt (+ (* x y) (* z z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	155	528
1	425	492
2	1399	468
3	5001	464

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))
2.5b	(cbrt (+ (* x y) (* z z)))

rewrite19.0ms

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:

4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
5.0ms	(cbrt (+ (* x y) (* z z)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (+ (* x y) (* z z)))
132.0ms	(cbrt (+ (* x y) (* z z)))
132.0ms	(cbrt (+ (* x y) (* z z)))
135.0ms	(cbrt (+ (* x y) (* z z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	155	528
1	425	492
2	1399	468
3	5001	464

prune242.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes242.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample613.0ms

Algorithm

intervals

Results

284.0ms

12229×

body

valid