Details

sample30.0ms

Algorithm

intervals

Results

20.0ms

478×

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

localize7.0ms

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))

simplify43.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

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

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
6.7b	(sqrt (+ (* x x) (* y y)))
6.7b	(sqrt (+ (* x x) (* y y)))

rewrite32.0ms

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:

2.0ms	(+ (* x x) (* y y))
20.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x x) (* y y))
26.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
37.0ms	(sqrt (+ (* x x) (* y y)))
34.0ms	(sqrt (+ (* x x) (* y y)))

simplify204.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	198	720
1	892	654
2	4766	634
3	5001	634

prune172.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
6.7b	(sqrt (+ (* x x) (* y y)))
7.3b	(cbrt (+ (* x x) (* y y)))
7.3b	(cbrt (+ (* x x) (* y y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

28.0ms	(* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
3.0ms	(sqrt (+ (* x x) (* y y)))
2.0ms	(cbrt (+ (* x x) (* y y)))
2.0ms	(cbrt (+ (* x x) (* y y)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
33.0ms	(sqrt (+ (* x x) (* y y)))
89.0ms	(cbrt (+ (* x x) (* y y)))
89.0ms	(cbrt (+ (* x x) (* y y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	343	1073
1	1458	992
2	5001	985

prune245.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))
6.7b	(sqrt (+ (* x x) (* y y)))
6.7b	(sqrt (+ (* x x) (* y y)))
26.5b	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod`
47×	`add-sqr-sqrt`
32×	`sqrt-prod`
21×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-div`
16×	`unpow-prod-down` `cube-prod`
14×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`pow1` `cube-div` `cbrt-div`
6×	`add-exp-log` `associate-l`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp` `sqr-pow`
2×	`cube-mult` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3` `associate-r/` `associate-l/`
1×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

34.0ms	(* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))
6.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(sqrt (+ (* x x) (* y y)))
5.0ms	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

series135.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))
34.0ms	(sqrt (+ (* x x) (* y y)))
37.0ms	(sqrt (+ (* x x) (* y y)))
35.0ms	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	290	1246
1	1150	950
2	5001	930

prune240.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes80.0ms

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

sample752.0ms

Algorithm

intervals

Results

536.0ms

14063×

body

valid