Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

449×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
7.2b	(sqrt (+ (* x x) (* y y)))
7.2b	(sqrt (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

3.0ms	(+ (* x x) (* y y))
3.0ms	(+ (* x x) (* y y))
4.0ms	(sqrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* x x) (* y y)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x x) (* y y))
30.0ms	(+ (* x x) (* y y))
35.0ms	(sqrt (+ (* x x) (* y y)))
36.0ms	(sqrt (+ (* x x) (* y y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	125	356
1	530	326
2	1540	326
3	5001	324

prune140.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

7.2b	(sqrt (+ (* x x) (* y y)))
19.0b	(sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
21.0b	(sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
21.6b	(/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

73×	`sqrt-prod`
55×	`*-un-lft-identity`
48×	`times-frac`
42×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
10×	`sqrt-div`
8×	`sum-cubes` `distribute-lft-out` `associate-/l*`
7×	`pow1`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 126

Calls

4 calls:

3.0ms	(sqrt (+ (* x x) (* y y)))
12.0ms	(sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
88.0ms	(sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
112.0ms	(/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (+ (* x x) (* y y)))
81.0ms	(sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
82.0ms	(sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
99.0ms	(/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))

simplify68.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	337	3198
1	1398	2998
2	5002	2963

prune409.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end0.0ms

sample517.0ms

Algorithm

intervals

Results

280.0ms

14360×

body

valid