Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

456×

body

valid

simplify268.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3197	4
12	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.1b	(* 3 (* y y))

rewrite13.0ms

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`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

6.0ms	(+ (* 3 (* y y)) (* x x))
7.0ms	(* 3 (* y y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* y y)) (* x x))
27.0ms	(* 3 (* y y))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139

prune60.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite14.0ms

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`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
7.0ms	(* (* 3 y) y)

series56.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (* 3 y) y) (* x x))
24.0ms	(* (* 3 y) y)

simplify127.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138

prune61.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 y) y)
0.2b	(* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))
6.5b	(sqrt (+ (* (* 3 y) y) (* x x)))
6.5b	(sqrt (+ (* (* 3 y) y) (* x x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
16×	`sqrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-l`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* (* 3 y) y)
52.0ms	(* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))
10.0ms	(sqrt (+ (* (* 3 y) y) (* x x)))
10.0ms	(sqrt (+ (* (* 3 y) y) (* x x)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 3 y) y)
33.0ms	(* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))
56.0ms	(sqrt (+ (* (* 3 y) y) (* x x)))
55.0ms	(sqrt (+ (* (* 3 y) y) (* x x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	257	885
1	1214	793
2	5002	764

prune214.0ms

Filtered

117 candidates to 66 candidates (56.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
0.3b	(* (sqrt 3) (* (sqrt 3) (* y y)))
0.3b	(* (sqrt 3) (* y y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

21.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
23.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))
9.0ms	(* (sqrt 3) (* y y))

series194.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
69.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))
46.0ms	(* (sqrt 3) (* y y))

simplify154.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	233	391
1	994	310
2	4280	302
3	5002	298

prune105.0ms

Filtered

67 candidates to 40 candidates (59.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes74.0ms

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	4
1	9	4

end0.0ms

sample561.0ms

Algorithm

intervals

Results

336.0ms

14406×

body

valid