Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

318×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	12	3
2	13	3
3	13	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x x) y)
14.0ms	(+ (+ (* x x) y) y)

series48.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x x) y)
25.0ms	(+ (+ (* x x) y) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	136	138
1	511	127
2	1640	121
3	5002	120

prune51.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

8.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	103	83
1	468	74
2	1756	74
3	5002	74

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(sqrt (+ (* x x) y))
4.0ms	(sqrt (+ (* x x) y))
10.0ms	(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
21.0ms	(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ (* x x) y))
38.0ms	(sqrt (+ (* x x) y))
25.0ms	(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
22.0ms	(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	251	687
1	978	604
2	5002	576

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

8.0ms	(+ (* x x) (+ y y))
14.0ms	(sqrt (+ (* x x) (+ y y)))
16.0ms	(sqrt (+ (* x x) (+ y y)))
65.0ms	(* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x x) (+ y y))
66.0ms	(sqrt (+ (* x x) (+ y y)))
64.0ms	(sqrt (+ (* x x) (+ y y)))
26.0ms	(* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	245	766
1	1080	694
2	5001	674

prune225.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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	6	3
1	6	3

end0.0ms

sample546.0ms

Algorithm

intervals

Results

382.0ms

10752×

body

valid