Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

6.0ms	(+ (+ b c) d)
8.0ms	(* a (+ (+ b c) d))

series41.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ b c) d)
26.0ms	(* a (+ (+ b c) d))

simplify33.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	193
1	908	173
2	5001	173

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d a (fma a b (* a c)))
0.0b	(fma a b (* a c))

rewrite2.0ms

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:

1.0ms	(fma d a (fma a b (* a c)))
1.0ms	(fma a b (* a c))

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma d a (fma a b (* a c)))
34.0ms	(fma a b (* a c))

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	790	86
3	5001	86

prune63.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ b c) d)
0.3b	(* (sqrt a) (+ (+ b c) d))
0.4b	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

6.0ms	(+ (+ b c) d)
9.0ms	(* (sqrt a) (+ (+ b c) d))
12.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (+ b c) d)
94.0ms	(* (sqrt a) (+ (+ b c) d))
56.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	301	447
1	1493	384
2	5001	378

prune158.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes145.0ms

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	8	3
1	8	3

end0.0ms

sample511.0ms

Algorithm

intervals

Results

174.0ms	8000×	pre	80	true
151.0ms	8000×	body	80	valid