Details

sample37.0ms

Algorithm

intervals

Results

26.0ms

458×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	16	4
1	33	3
2	41	3
3	41	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`associate-+l+`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
14.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 2.0) (* x x))
34.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify129.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	196	206
1	967	178
2	4173	167
3	5001	166

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-div` `add-log-exp`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`fma-def` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `hypot-def`

Counts

4 → 115

Calls

4 calls:

14.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
16.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
60.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
33.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
36.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
34.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	243	1074
1	1179	929
2	5001	903

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (* y y))
0.0b	(fma 2.0 x (fma x x (* y y)))
0.2b	(pow (fma 2.0 x (fma x x (* y y))) 3)
40.9b	(cbrt (pow (fma 2.0 x (fma x x (* y y))) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma x x (* y y))
0.0ms	(fma 2.0 x (fma x x (* y y)))
1.0ms	(pow (fma 2.0 x (fma x x (* y y))) 3)
2.0ms	(cbrt (pow (fma 2.0 x (fma x x (* y y))) 3))

series245.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma x x (* y y))
43.0ms	(fma 2.0 x (fma x x (* y y)))
125.0ms	(pow (fma 2.0 x (fma x x (* y y))) 3)
40.0ms	(cbrt (pow (fma 2.0 x (fma x x (* y y))) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	191	427
1	821	391
2	5002	384

prune175.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.0s

Algorithm

intervals

Results

818.0ms

14381×

body

valid