Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

359×

body

valid

simplify9.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize4.0ms

Local error

Found 1 expressions with local error:

5.3b	(* 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` `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)))

simplify89.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (23.0ms)

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

prune56.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.4b

localize5.0ms

Local error

Found 1 expressions with local error:

5.3b	(* (+ 1.0 (* y y)) x)

rewrite17.0ms

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-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

16.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	122	119
1	562	95
2	2834	90
3	5001	90

prune55.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ 1.0 (* y y))) x)
0.1b	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
5.2b	(sqrt (+ 1.0 (* y y)))
5.2b	(sqrt (+ 1.0 (* y y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`sqrt-div`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

18.0ms	(* (sqrt (+ 1.0 (* y y))) x)
44.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
5.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (+ 1.0 (* y y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (sqrt (+ 1.0 (* y y))) x)
30.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
41.0ms	(sqrt (+ 1.0 (* y y)))
39.0ms	(sqrt (+ 1.0 (* y y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	328	729
1	1197	629
2	5001	600

prune265.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (sqrt (sqrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y))
0.1b	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y)))
5.2b	(sqrt (+ 1.0 (* y y)))
5.2b	(sqrt (+ 1.0 (* y y)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
20×	`pow1`
18×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
15×	`sqrt-prod`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def`

Counts

4 → 95

Calls

4 calls:

41.0ms	(* (* (sqrt (sqrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y))
135.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y)))
8.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

459.0ms	(* (* (sqrt (sqrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y))
250.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y)))
43.0ms	(sqrt (+ 1.0 (* y y)))
38.0ms	(sqrt (+ 1.0 (* y y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	611	1229
1	2562	1040
2	5001	988

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

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	9	6
1	9	6

end0.0ms

sample405.0ms

Algorithm

intervals

Results

185.0ms

10734×

body

valid