Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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	(* (+ a b) (+ a b))

rewrite19.0ms

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:

17.0ms

(* (+ a b) (+ a b))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* (+ a b) (+ a b))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	195	218
1	958	194
2	5002	180

prune54.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a (+ a b)) (* b (+ a b)))
0.0b	(* b (+ a b))
0.0b	(* a (+ a b))

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:

6.0ms	(+ (* a (+ a b)) (* b (+ a b)))
9.0ms	(* b (+ a b))
9.0ms	(* a (+ a b))

series76.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* a (+ a b)) (* b (+ a b)))
28.0ms	(* b (+ a b))
26.0ms	(* a (+ a b))

simplify59.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	373	400
1	2125	342
2	5001	336

prune134.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* b (+ a b))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

11.0ms

(* b (+ a b))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* b (+ a b))

simplify79.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	127	91
1	621	82
2	3074	81
3	5002	81

prune48.0ms

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	7	4
1	7	4

end0.0ms

sample349.0ms

Algorithm

intervals

Results

118.0ms	8000×	pre	80	true
102.0ms	8000×	body	80	valid