Details

sample31.0ms

Algorithm

intervals

Results

23.0ms

349×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	26	6
1	55	6
2	122	6
3	205	6
4	253	5
5	307	5
6	363	5
7	498	5
8	911	5
9	1187	5
10	1188	5
11	1188	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

35.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
7.0ms	(- (* (* x 3.0) x) (* x 4.0))
99.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
72.0ms	(- (* (* x 3.0) x) (* x 4.0))
31.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
27.0ms	(* (* x 3.0) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	318	506
1	1331	451
2	5001	423

prune140.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 9.0 (pow x 2)) 3.0)
0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 52

Calls

3 calls:

3.0ms	(+ (* 9.0 (pow x 2)) 3.0)
27.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series99.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* 9.0 (pow x 2)) 3.0)
23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

simplify186.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	237	299
1	891	276
2	4637	269
3	5001	269

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* x 9.0) 12.0)
14.0ms	(* x (- (* x 9.0) 12.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x 9.0) 12.0)
61.0ms	(* x (- (* x 9.0) 12.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	137	189
1	560	167
2	2720	166
3	5001	166

prune72.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2)))) 3.0) (* 12.0 x))
0.4b	(* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2))))
15.7b	(sqrt (pow x 2))
15.7b	(sqrt (pow x 2))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`pow-prod-down`
16×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
14×	`pow1/2`
12×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`add-cube-cbrt` `unpow-prod-down` `rem-sqrt-square` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`sqrt-unprod` `pow-sqr` `pow-prod-up`
4×	`unpow2` `sqr-pow`
2×	`sqrt-pow1` `pow-plus` `diff-log`
1×	`pow2` `sub-neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `sum-log` `rem-square-sqrt` `*-commutative` `flip--`

Counts

4 → 95

Calls

4 calls:

265.0ms	(- (+ (* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2)))) 3.0) (* 12.0 x))
30.0ms	(* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2))))
2.0ms	(sqrt (pow x 2))
4.0ms	(sqrt (pow x 2))

series138.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (+ (* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2)))) 3.0) (* 12.0 x))
72.0ms	(* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2))))
8.0ms	(sqrt (pow x 2))
11.0ms	(sqrt (pow x 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	254	570
1	1142	372
2	5001	361

prune215.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b 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	11	4
1	11	4

end0.0ms

sample842.0ms

Algorithm

intervals

Results

717.0ms

10735×

body

valid