Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

40.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify99.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	114
1	738	100
2	4526	100
3	5001	100

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ (+ b c) d))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.5b	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

36.0ms	(* a (+ (+ b c) d))
12.0ms	(sqrt (* a (+ (+ b c) d)))
9.0ms	(sqrt (* a (+ (+ b c) d)))
74.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* a (+ (+ b c) d))
181.0ms	(sqrt (* a (+ (+ b c) d)))
187.0ms	(sqrt (* a (+ (+ b c) d)))
28.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	328	706
1	1745	621
2	5001	599

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
30×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

17.0ms	(sqrt (+ (+ b c) d))
37.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
39.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
84.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (+ (+ b c) d))
171.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
173.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
52.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify62.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	424	1035
1	1864	877
2	5001	859

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.5b	(* (- (* (+ b c) (+ b c)) (* d d)) a)
7.4b	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-l` `distribute-lft-out`
7×	`associate-r`
6×	`flip3-+` `times-frac` `swap-sqr` `associate-l/` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 107

Calls

4 calls:

8.0ms	(- (* (+ b c) (+ b c)) (* d d))
16.0ms	(* (+ b c) (+ b c))
32.0ms	(* (- (* (+ b c) (+ b c)) (* d d)) a)
30.0ms	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

series225.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* (+ b c) (+ b c)) (* d d))
14.0ms	(* (+ b c) (+ b c))
79.0ms	(* (- (* (+ b c) (+ b c)) (* d d)) a)
71.0ms	(/ (* (- (* (+ b c) (+ b c)) (* d d)) a) (- (+ b c) d))

simplify78.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	496	914
1	2633	788
2	5001	784

prune217.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes137.0ms

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	10	3
1	10	3

end0.0ms

sample506.0ms

Algorithm

intervals

Results

176.0ms	8000×	pre	80	true
144.0ms	8000×	body	80	valid