Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

13.0ms	(+ (+ b c) d)
41.0ms	(* a (+ (+ b c) d))

series43.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ b c) d)
27.0ms	(* a (+ (+ b c) d))

simplify32.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	177	179
1	861	160
2	5001	160

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

5.0ms	(+ (* a (+ b c)) (* a d))
10.0ms	(* a (+ b c))

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* a (+ b c)) (* a d))
29.0ms	(* a (+ b c))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5001	156

prune82.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

15.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
11.0ms	(* (sqrt a) (+ b c))
16.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
80.0ms	(* (sqrt a) (+ b c))
44.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	363	448
1	1720	363
2	5003	354

prune163.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ b c) (+ b c))
0.0b	(pow (+ b c) 3)
0.5b	(* a (+ (pow (+ b c) 3) (pow d 3)))
18.5b	(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
22×	`flip3-+` `flip-+`
21×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-/r/`
17×	`associate-r`
16×	`frac-add`
15×	`add-cube-cbrt`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`frac-times` `unpow-prod-down` `cube-prod`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`swap-sqr` `associate-*l/`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

16.0ms	(* (+ b c) (+ b c))
5.0ms	(pow (+ b c) 3)
113.0ms	(* a (+ (pow (+ b c) 3) (pow d 3)))
69.0ms	(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ b c) (+ b c))
36.0ms	(pow (+ b c) 3)
350.0ms	(* a (+ (pow (+ b c) 3) (pow d 3)))
224.0ms	(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

simplify43.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	901	1587
1	5002	1440

prune397.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes143.0ms

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	12	4
1	12	4

end0.0ms

sample527.0ms

Algorithm

intervals

Results

190.0ms	8000×	pre	80	true
142.0ms	8000×	body	80	valid