Details

sample32.0ms

Algorithm

intervals

Results

22.0ms

458×

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))

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify45.0ms

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

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
3.5b	(sqrt (+ (* x x) (* y y)))
3.5b	(sqrt (+ (* x x) (* y y)))

rewrite13.0ms

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:

2.0ms	(+ (* x x) (* y y))
2.0ms	(+ (* x x) (* y y))
3.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x x) (* y y))
26.0ms	(+ (* x x) (* y y))
40.0ms	(sqrt (+ (* x x) (* y y)))
36.0ms	(sqrt (+ (* x x) (* y y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (47.0ms)

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

prune136.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
3.5b	(sqrt (+ (* x x) (* y y)))
4.0b	(cbrt (+ (* x x) (* y y)))
4.0b	(cbrt (+ (* x x) (* y y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
10×	`cbrt-prod`
9×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 69

Calls

4 calls:

12.0ms	(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
6.0ms	(sqrt (+ (* x x) (* y y)))
2.0ms	(cbrt (+ (* x x) (* y y)))
2.0ms	(cbrt (+ (* x x) (* y y)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
36.0ms	(sqrt (+ (* x x) (* y y)))
111.0ms	(cbrt (+ (* x x) (* y y)))
95.0ms	(cbrt (+ (* x x) (* y y)))

simplify132.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	270	788
1	1036	735
2	4370	728
3	5001	723

prune239.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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

sample876.0ms

Algorithm

intervals

Results

649.0ms

14381×

body

valid