Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

343×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	23	3
2	30	3
3	31	3
4	31	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(* x (+ 1.0 (* y y)))

rewrite15.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

15.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	148	123
1	742	103
2	3453	100
3	5001	100

prune78.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.4b

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))))
4.3b	(sqrt (+ 1.0 (* y y)))
4.3b	(sqrt (+ 1.0 (* y y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`sqrt-div`
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×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

19.0ms	(* x (sqrt (+ 1.0 (* y y))))
40.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
7.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (sqrt (+ 1.0 (* y y))))
47.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
40.0ms	(sqrt (+ 1.0 (* y y)))
37.0ms	(sqrt (+ 1.0 (* y y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	318	722
1	1367	620
2	5002	595

prune386.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
7.7b	(* x (* y y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+ (* x 1.0) (* x (* y y)))
18.0ms	(* x (* y y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x 1.0) (* x (* y y)))
26.0ms	(* x (* y y))

simplify84.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	177	177
1	681	146
2	2809	143
3	5001	142

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite25.0ms

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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 34

Calls

2 calls:

8.0ms	(+ (* x 1.0) (* (* x y) y))
17.0ms	(* (* x y) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* x 1.0) (* (* x y) y))
28.0ms	(* (* x y) y)

simplify130.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	184	173
1	862	149
2	4478	140
3	5001	139

prune85.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

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	11	4
1	11	4

end0.0ms

sample400.0ms

Algorithm

intervals

Results

224.0ms

10713×

body

valid