Details

sample14.0ms

Algorithm

intervals

Results

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

simplify15.0ms

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))

rewrite13.0ms

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:

11.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ 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

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.3b	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
0.3b	(* (- (* a a) (* b b)) (+ a b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

4.0ms	(- (* a a) (* b b))
12.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
9.0ms	(* (- (* a a) (* b b)) (+ a b))

series114.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* a a) (* b b))
42.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
40.0ms	(* (- (* a a) (* b b)) (+ a b))

simplify76.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	435	731
1	2668	647
2	5002	647

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

6.0ms	(+ (* 2 (* a b)) (pow b 2))
13.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* 2 (* a b)) (pow b 2))
23.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

simplify136.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

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

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

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	12	5
1	12	5

end0.0ms

sample326.0ms

Algorithm

intervals

Results

104.0ms	8000×	pre	80	true
99.0ms	8000×	body	80	valid