Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

347×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

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	(* 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

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:

3.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
4.0ms	(- (* x 3.0) 4.0)
5.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
7.0ms	(* x (- (* x 3.0) 4.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
39.0ms	(- (* x 3.0) 4.0)
37.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
65.0ms	(* x (- (* x 3.0) 4.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	296	472
1	1292	423
2	5001	422

prune137.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.0b

Counts

86 → 6

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))

rewrite13.0ms

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))

series48.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify163.0ms

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

prune76.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize11.0ms

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))
0.2b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite32.0ms

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:

12.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
7.0ms	(* (cbrt 9.0) (pow x 2))
11.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
76.0ms	(* (cbrt 9.0) (pow x 2))
95.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (43.0ms)

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

prune128.0ms

Filtered

81 candidates to 44 candidates (54.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (* x (cbrt 9.0)) x)) 3.0) (* 12.0 x))
0.1b	(* x (cbrt 9.0))
0.2b	(* (* x (cbrt 9.0)) x)
0.2b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* x (cbrt 9.0)) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

14.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (* x (cbrt 9.0)) x)) 3.0) (* 12.0 x))
5.0ms	(* x (cbrt 9.0))
5.0ms	(* (* x (cbrt 9.0)) x)
12.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* x (cbrt 9.0)) x))

series246.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (* x (cbrt 9.0)) x)) 3.0) (* 12.0 x))
42.0ms	(* x (cbrt 9.0))
53.0ms	(* (* x (cbrt 9.0)) x)
94.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* x (cbrt 9.0)) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	321	692
1	1545	558
2	5001	481

prune115.0ms

Filtered

94 candidates to 49 candidates (52.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample433.0ms

Algorithm

intervals

Results

314.0ms

10667×

body

valid