Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

349×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (11.0ms)

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)

rewrite146.0ms

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)
6.0ms	(- (* (* x 3.0) x) (* x 4.0))
96.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series154.0ms

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))
28.0ms	(* (* x 3.0) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (42.0ms)

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

prune143.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite39.0ms

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:

4.0ms	(+ (* 9.0 (pow x 2)) 3.0)
28.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series101.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* 9.0 (pow x 2)) 3.0)
23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
26.0ms	(* 9.0 (pow x 2))

simplify183.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

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

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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))

series102.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x 9.0) 12.0)
59.0ms	(* x (- (* x 9.0) 12.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (18.0ms)

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

prune68.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
17×	`pow-prod-down`
15×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
4×	`pow-sqr` `pow-prod-up`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow-plus` `diff-log` `sum-log`
1×	`+-commutative` `pow2` `sub-neg` `flip3--` `flip3-+` `swap-sqr` `associate-r` `associate-l` `associate--l+` `*-commutative` `flip--` `flip-+`

Counts

3 → 59

Calls

3 calls:

15.0ms	(+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0)
133.0ms	(- (+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0) (* 12.0 x))
18.0ms	(* (* x (sqrt 9.0)) (* x (sqrt 9.0)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0)
52.0ms	(- (+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0) (* 12.0 x))
70.0ms	(* (* x (sqrt 9.0)) (* x (sqrt 9.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	239	437
1	1041	344
2	5001	329

prune99.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes20.0ms

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

sample375.0ms

Algorithm

intervals

Results

257.0ms

10735×

body

valid