Details

sample14.0ms

Algorithm

intervals

Results

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

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite18.0ms

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:

16.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (30.0ms)

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

prune55.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
4×	`associate-*r/`
2×	`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

2 → 50

Calls

2 calls:

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

series57.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* b (+ a b))
27.0ms	(* a (+ a b))

simplify33.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	201	182
1	1057	164
2	5002	162

prune86.0ms

Filtered

56 candidates to 36 candidates (64.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow a 2) (* a b))
0.0b	(* b (+ a b))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `fma-def` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

2 → 47

Calls

2 calls:

7.0ms	(+ (pow a 2) (* a b))
10.0ms	(* b (+ a b))

series58.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (pow a 2) (* a b))
26.0ms	(* b (+ a b))

simplify30.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	203	174
1	1034	151
2	5002	147

prune110.0ms

Filtered

53 candidates to 39 candidates (73.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

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:

9.0ms

(* b (+ a b))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* b (+ a b))

simplify76.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (18.0ms)

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

prune61.0ms

Filtered

28 candidates to 18 candidates (64.3%)

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	14	9
1	14	9

end0.0ms

sample339.0ms

Algorithm

intervals

Results

110.0ms	8000×	pre	80	true
100.0ms	8000×	body	80	valid