Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	269×	body	80	valid
7.0ms	272×	body	80	nan

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ x (* y (sqrt z)))
11.0ms	(* y (sqrt z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* y (sqrt z)))
47.0ms	(* y (sqrt z))

simplify127.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	161
3	5002	161

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
16.0ms	(* y (sqrt (sqrt z)))
36.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
143.0ms	(sqrt (sqrt z))
84.0ms	(* y (sqrt (sqrt z)))
43.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune249.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

6.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
14.0ms	(* y (pow z 1/4))
27.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
146.0ms	(sqrt (sqrt z))
62.0ms	(* y (pow z 1/4))
83.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	477	564
1	2149	507
2	5001	507

prune270.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/8))
0.3b	(* (* y (pow z 1/8)) (pow z (/ 1/4 2)))
0.3b	(* (* (* y (pow z 1/8)) (pow z (/ 1/4 2))) (sqrt (sqrt z)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
19×	`sqrt-prod`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
8×	`pow1`
7×	`unpow-prod-down`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow-prod-down`

Counts

4 → 109

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
12.0ms	(* y (pow z 1/8))
28.0ms	(* (* y (pow z 1/8)) (pow z (/ 1/4 2)))
81.0ms	(* (* (* y (pow z 1/8)) (pow z (/ 1/4 2))) (sqrt (sqrt z)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(sqrt (sqrt z))
64.0ms	(* y (pow z 1/8))
71.0ms	(* (* y (pow z 1/8)) (pow z (/ 1/4 2)))
86.0ms	(* (* (* y (pow z 1/8)) (pow z (/ 1/4 2))) (sqrt (sqrt z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	543	750
1	2669	594
2	5002	586

prune306.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes243.0ms

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	5
1	13	5

end0.0ms

sample884.0ms

Algorithm

intervals

Results

227.0ms	8499×	body	80	valid
208.0ms	8353×	body	80	nan