Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

355×

body

valid

simplify75.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

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)

rewrite26.0ms

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:

9.0ms	(- (* (* x 3.0) x) (* x 4.0))
10.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms	(* (* x 3.0) x)

series129.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (* (* x 3.0) x) (* x 4.0))
31.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms	(* (* 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

prune114.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite14.0ms

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:

7.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms	(* 9.0 (pow x 2))

series46.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
24.0ms	(* 9.0 (pow x 2))

simplify154.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (150.0ms)

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

prune91.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (* 9.0 (fabs x)) (sqrt (pow x 2))) 3.0) (* 12.0 x))
0.1b	(* (* 9.0 (fabs x)) (sqrt (pow x 2)))
18.9b	(sqrt (pow x 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

9.0ms	(- (+ (* (* 9.0 (fabs x)) (sqrt (pow x 2))) 3.0) (* 12.0 x))
7.0ms	(* (* 9.0 (fabs x)) (sqrt (pow x 2)))
2.0ms	(sqrt (pow x 2))

series145.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (+ (* (* 9.0 (fabs x)) (sqrt (pow x 2))) 3.0) (* 12.0 x))
41.0ms	(* (* 9.0 (fabs x)) (sqrt (pow x 2)))
12.0ms	(sqrt (pow x 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	278	431
1	1174	362
2	5001	331

prune165.0ms

Filtered

70 candidates to 49 candidates (70.0%)

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

4.0ms	(- (* x 3.0) 4.0)
5.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
10.0ms	(* x (- (* x 3.0) 4.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* x 3.0) 4.0)
36.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
59.0ms	(* x (- (* x 3.0) 4.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	267	361
1	1213	324
2	5002	323

prune111.0ms

Filtered

67 candidates to 43 candidates (64.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes18.0ms

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	17	8
1	17	8

end0.0ms

sample387.0ms

Algorithm

intervals

Results

264.0ms

10589×

body

valid