Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

330×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b	(* x (+ 1.0 (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

16.0ms

(* x (+ 1.0 (* y y)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* x (+ 1.0 (* y y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

19.0ms	(* x (sqrt (+ 1.0 (* y y))))
46.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (sqrt (+ 1.0 (* y y))))
55.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
38.0ms	(sqrt (+ 1.0 (* y y)))
42.0ms	(sqrt (+ 1.0 (* y y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	306	681
1	1316	604
2	5002	594

prune223.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
18×	`sqrt-prod`
13×	`add-sqr-sqrt`
12×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `flip3-+` `associate-r` `add-cbrt-cube` `flip-+`
8×	`associate-*r/`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 77

Calls

4 calls:

54.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))
10.0ms	(sqrt (+ 1.0 (* y y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
39.0ms	(sqrt (+ 1.0 (* y y)))
44.0ms	(sqrt (+ 1.0 (* y y)))
40.0ms	(sqrt (+ 1.0 (* y y)))

simplify128.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	298	736
1	1063	653
2	4704	639
3	5001	639

prune271.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.1b

localize11.0ms

Local error

Found 4 expressions with local error:

5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

6.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))
10.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (+ 1.0 (* y y)))
37.0ms	(sqrt (+ 1.0 (* y y)))
45.0ms	(sqrt (+ 1.0 (* y y)))
39.0ms	(sqrt (+ 1.0 (* y y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	135	416
1	448	408
2	1981	400
3	5001	396

prune243.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.1b

regimes96.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.4b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample397.0ms

Algorithm

intervals

Results

180.0ms

10661×

body

valid