Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

390×

body

valid

simplify271.0ms

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))

rewrite63.0ms

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

series127.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* z z))
47.0ms	(+ (+ (* x y) (* z z)) (* z z))
46.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify124.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (119.0ms)

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

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

2 → 30

Calls

2 calls:

2.0ms	(+ (* x y) (* z z))
12.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x y) (* z z))
45.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	273	338
1	1324	281
2	5002	254

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ (* x y) (* (* 3 z) z))
7.0ms	(* (* 3 z) z)

series69.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x y) (* (* 3 z) z))
24.0ms	(* (* 3 z) z)

simplify141.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	175	161
1	822	145
2	4320	140
3	5001	139

prune70.0ms

Pruning

7 alts after pruning (5 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))) (cbrt (+ (* x y) (* z z))))
2.6b	(cbrt (+ (* x y) (* z z)))
2.6b	(cbrt (+ (* x y) (* z z)))
2.6b	(cbrt (+ (* x y) (* z z)))

rewrite27.0ms

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:

19.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
2.0ms	(cbrt (+ (* x y) (* z z)))
2.0ms	(cbrt (+ (* x y) (* z z)))
2.0ms	(cbrt (+ (* x y) (* z z)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
123.0ms	(cbrt (+ (* x y) (* z z)))
124.0ms	(cbrt (+ (* x y) (* z z)))
127.0ms	(cbrt (+ (* x y) (* z z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

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

prune261.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes128.0ms

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	13	6
1	13	6

end0.0ms

sample923.0ms

Algorithm

intervals

Results

674.0ms

12328×

body

valid