Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

364×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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)

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

20.0ms	(- (* (* x 3.0) x) (* x 4.0))
223.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
21.0ms	(* (* x 3.0) x)

series137.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* (* x 3.0) x) (* x 4.0))
33.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
27.0ms	(* (* x 3.0) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	286	367
1	1258	325
2	5002	310

prune118.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

53.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
16.0ms	(* 9.0 (pow x 2))

series53.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
29.0ms	(* 9.0 (pow x 2))

simplify158.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (153.0ms)

Iter	Nodes	Cost
0	193	233
1	766	207
2	4099	201
3	5003	200

prune97.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))

rewrite42.0ms

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:

11.0ms	(- (* x 9.0) 12.0)
30.0ms	(* x (- (* x 9.0) 12.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* x 9.0) 12.0)
63.0ms	(* x (- (* x 9.0) 12.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (20.0ms)

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

prune71.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
0.2b	(* (cbrt 9.0) (pow x 2))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

277.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
14.0ms	(* (cbrt 9.0) (pow x 2))
45.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
47.0ms	(* (cbrt 9.0) (pow x 2))
96.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	294	636
1	1205	515
2	5002	469

prune152.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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

sample407.0ms

Algorithm

intervals

Results

259.0ms

10746×

body

valid