Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

320×

body

valid

simplify68.0ms

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
7.0ms	(- (* x 3.0) 4.0)
30.0ms	(* x (- (* x 3.0) 4.0))
14.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
38.0ms	(- (* x 3.0) 4.0)
64.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	296	472
1	1292	423
2	5002	422

prune145.0ms

Pruning

6 alts after pruning (6 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))

rewrite63.0ms

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:

51.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
11.0ms	(* 9.0 (pow x 2))

series49.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

simplify155.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (147.0ms)

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

prune86.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (- (* x 9.0) 12.0)) 3.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

16.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
30.0ms	(* x (- (* x 9.0) 12.0))

series85.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
62.0ms	(* x (- (* x 9.0) 12.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	187	237
1	682	211
2	3637	208
3	5001	208

prune74.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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×	`sub-neg` `associate-+r+` `diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 54

Calls

3 calls:

15.0ms	(+ (* 9.0 (pow x 2)) (- 3.0 (* 12.0 x)))
5.0ms	(- 3.0 (* 12.0 x))
11.0ms	(* 9.0 (pow x 2))

series87.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* 9.0 (pow x 2)) (- 3.0 (* 12.0 x)))
35.0ms	(- 3.0 (* 12.0 x))
28.0ms	(* 9.0 (pow x 2))

simplify202.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	239	291
1	883	263
2	4741	259
3	5002	259

prune112.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes16.0ms

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

sample402.0ms

Algorithm

intervals

Results

255.0ms

10693×

body

valid