Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

378×

body

valid

simplify278.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 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))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`sum-log`
4×	`fma-def`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ (* x y) (* z z))
51.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x y) (* z z))
46.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify103.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	193	260
1	873	214
2	3668	199
3	5001	195

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 3 (* z z) (* x y))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma 3 (* z z) (* x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	79	52
2	256	52
3	1025	52
4	5001	52

prune45.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite76.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

54.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
6.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
131.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
132.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
131.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	313	1501
1	1045	1404
2	4169	1296
3	5001	1288

prune341.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite27.0ms

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` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
138.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
143.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
138.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	174	796
1	474	740
2	1577	708
3	5001	696

prune327.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes206.0ms

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

sample602.0ms

Algorithm

intervals

Results

331.0ms

12115×

body

valid