Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

480×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

19.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	194	221
1	953	194
2	5002	180

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `sum-log`

Counts

3 → 73

Calls

3 calls:

9.0ms	(* x (+ x y))
10.0ms	(* y (+ x y))
6.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* x (+ x y))
30.0ms	(* y (+ x y))
24.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	371	403
1	2121	342
2	5002	336

prune143.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (fma (* 2 x) y (pow y 2)))
0.0b	(fma (* 2 x) y (pow y 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma x x (fma (* 2 x) y (pow y 2)))
0.0ms	(fma (* 2 x) y (pow y 2))

series70.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma x x (fma (* 2 x) y (pow y 2)))
44.0ms	(fma (* 2 x) y (pow y 2))

simplify32.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	50	132
1	154	116
2	888	112
3	5001	107

prune235.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample430.0ms

Algorithm

intervals

Results

215.0ms

14166×

body

valid