Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

361×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	33	3
2	73	3
3	112	3
4	129	3
5	131	3
6	131	3

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (- x y)) 2.0)
0.0b	(* x (- x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

13.0ms	(* (* x (- x y)) 2.0)
11.0ms	(* x (- x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (* x (- x y)) 2.0)
36.0ms	(* x (- x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	268	469
1	1243	316
2	5001	310

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (* (- x y) 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-*l/`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

12.0ms

(* x (* (- x y) 2.0))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* x (* (- x y) 2.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	117
1	558	95
2	3176	95
3	5002	95

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (- (* x x) (* x y)))
0.0b	(- (* x x) (* x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

10.0ms	(* 2.0 (- (* x x) (* x y)))
3.0ms	(- (* x x) (* x y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 2.0 (- (* x x) (* x y)))
32.0ms	(- (* x x) (* x y))

simplify139.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	182	265
1	836	234
2	4713	230
3	5001	230

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (* (* x y) (* x y)) (* (* x x) (* x y)))
1.5b	(* (* x x) (* x y))
2.6b	(- (pow (* x x) 3) (pow (* x y) 3))
37.1b	(/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

64×	`prod-diff`
29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt` `unpow-prod-down` `cube-prod` `sqr-pow`
21×	`add-exp-log` `add-cbrt-cube`
17×	`cube-mult` `unpow3`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`fma-neg` `pow-prod-down` `add-log-exp` `difference-of-squares`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `flip3-+` `associate-*r/` `div-exp` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `sub-neg` `distribute-rgt-out` `fma-def` `frac-2neg` `diff-log` `associate-r` `associate-l` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l`

Counts

4 → 166

Calls

4 calls:

9.0ms	(+ (* (* x y) (* x y)) (* (* x x) (* x y)))
10.0ms	(* (* x x) (* x y))
12.0ms	(- (pow (* x x) 3) (pow (* x y) 3))
99.0ms	(/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (* x y) (* x y)) (* (* x x) (* x y)))
25.0ms	(* (* x x) (* x y))
75.0ms	(- (pow (* x x) 3) (pow (* x y) 3))
122.0ms	(/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))

simplify155.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	676	2006
1	3474	1557
2	5001	1544

prune312.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample403.0ms

Algorithm

intervals

Results

236.0ms

11080×

body

valid