Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

442×

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

prune1.0ms

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))

rewrite8.0ms

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:

8.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify44.0ms

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
5.1b	(sqrt (+ (* x x) (* y y)))
5.1b	(sqrt (+ (* x x) (* y y)))

rewrite34.0ms

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:

10.0ms	(+ (* x x) (* y y))
8.0ms	(+ (* x x) (* y y))
8.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(sqrt (+ (* x x) (* y y)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x x) (* y y))
27.0ms	(+ (* x x) (* y y))
32.0ms	(sqrt (+ (* x x) (* y y)))
32.0ms	(sqrt (+ (* x x) (* y y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	125	354
1	530	326
2	1540	326
3	5001	324

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
5.1b	(sqrt (+ (* x x) (* y y)))
5.1b	(sqrt (+ (* x x) (* y y)))
5.1b	(sqrt (+ (* x x) (* y y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1` `sqrt-div`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

52.0ms	(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
7.0ms	(sqrt (+ (* x x) (* y y)))
7.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(sqrt (+ (* x x) (* y y)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
32.0ms	(sqrt (+ (* x x) (* y y)))
31.0ms	(sqrt (+ (* x x) (* y y)))
35.0ms	(sqrt (+ (* x x) (* y y)))

simplify213.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 3 (201.0ms)

Iter	Nodes	Cost
0	210	990
1	774	923
2	4457	902
3	5001	875

prune235.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- (pow y 3)) y)
1.5b	(+ (* (- (pow y 3)) y) (pow x 4))
29.7b	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-r` `associate-/l*`
2×	`cube-mult` `flip3-+` `unpow3` `associate-/r/` `flip-+` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-lft-neg-out` `neg-mul-1` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

22.0ms	(* (- (pow y 3)) y)
15.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
49.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (- (pow y 3)) y)
42.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
67.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	365	766
1	2146	660
2	5002	651

prune227.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

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

sample507.0ms

Algorithm

intervals

Results

226.0ms

14111×

body

valid