Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

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))

rewrite9.0ms

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` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

5.0ms	(* a (+ a b))
5.0ms	(* b (+ a b))
7.0ms	(+ (* a (+ a b)) (* b (+ a b)))

series79.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* a (+ a b))
26.0ms	(* b (+ a b))
27.0ms	(+ (* a (+ a b)) (* b (+ a b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	349	386
1	1962	333
2	5001	331

prune124.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

9.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
6.0ms	(+ (* 2 (* a b)) (pow b 2))

series72.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
49.0ms	(+ (* 2 (* a b)) (pow b 2))

simplify137.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	163	237
1	744	220
2	3894	212
3	5001	212

prune73.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 2) (log (pow (exp b) (+ b (* 2 a)))))
0.1b	(pow (exp b) (+ b (* 2 a)))
5.7b	(log (pow (exp b) (+ b (* 2 a))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
8×	`associate-+r+`
4×	`pow1` `add-exp-log` `pow-pow` `add-log-exp`
3×	`unpow-prod-up` `pow-unpow` `exp-prod` `rem-log-exp` `add-cbrt-cube` `sqr-pow`
2×	`pow-to-exp` `pow-exp`
1×	`+-commutative` `flip3-+` `sum-log` `log-pow` `flip-+` `distribute-lft-out`

Counts

3 → 60

Calls

3 calls:

8.0ms	(+ (pow a 2) (log (pow (exp b) (+ b (* 2 a)))))
4.0ms	(pow (exp b) (+ b (* 2 a)))
3.0ms	(log (pow (exp b) (+ b (* 2 a))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (pow a 2) (log (pow (exp b) (+ b (* 2 a)))))
24.0ms	(pow (exp b) (+ b (* 2 a)))
69.0ms	(log (pow (exp b) (+ b (* 2 a))))

simplify37.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	239	470
1	1001	422
2	5001	411

prune170.0ms

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	13	7
1	13	7

end0.0ms

sample339.0ms

Algorithm

intervals

Results

109.0ms	8000×	pre	80	true
105.0ms	8000×	body	80	valid