Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

450×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
4.0ms	(+ (* x 2.0) (* x x))

series84.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
56.0ms	(+ (* x 2.0) (* x x))

simplify102.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (98.0ms)

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

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (+ 2.0 x) (* y y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma x (+ 2.0 x) (* y y))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	62
1	87	52
2	383	52
3	2092	52
4	5001	52

prune26.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x))))
0.6b	(cbrt (+ (* x 2.0) (* x x)))
0.6b	(cbrt (+ (* x 2.0) (* x x)))
0.6b	(cbrt (+ (* x 2.0) (* x x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

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

series368.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x))))
85.0ms	(cbrt (+ (* x 2.0) (* x x)))
85.0ms	(cbrt (+ (* x 2.0) (* x x)))
107.0ms	(cbrt (+ (* x 2.0) (* x x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	349	1217
1	1269	1121
2	5002	1052

prune332.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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	11	5
1	11	5

end0.0ms

sample530.0ms

Algorithm

intervals

Results

323.0ms

14249×

body

valid