Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`flip3-+` `flip-+`
2×	`associate-*l/` `associate-/r/` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 17

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 2.30753 (* x 0.27061))
82.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
62.0ms	(* (+ 0.99229 (* x 0.04481)) x)
57.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	236	218
1	729	213
2	2840	206
3	5001	206

prune61.0ms

Filtered

29 candidates to 21 candidates (72.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	2	30

Merged error: 0b

Counts

30 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.6b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`flip3-+` `flip-+`
6×	`frac-times`
5×	`clear-num`
4×	`frac-2neg` `associate-*l/` `associate-/r/`
3×	`associate-r/` `associate-r*`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`sub-neg` `flip3--` `flip--` `inv-pow`

Counts

4 → 30

Calls

4 calls:

2.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
4.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
7.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
65.0ms	(* (+ 0.99229 (* x 0.04481)) x)
40.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
55.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify44.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	323	337
1	1334	324
2	5001	318

prune89.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
0.3b	(/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
14.6b	(* (+ 2.30753 (* x 0.27061)) (* (/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
20.3b	(* (/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

106×	`frac-times`
60×	`*-commutative`
52×	`associate-/r*` `difference-of-squares`
44×	`associate-*l/`
35×	`flip3--` `flip--`
33×	`associate-*r/`
30×	`flip3-+` `flip-+`
13×	`frac-2neg` `clear-num`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-/r/`
3×	`div-inv`
2×	`swap-sqr`
1×	`pow2` `inv-pow`

Counts

4 → 142

Calls

4 calls:

8.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
10.0ms	(/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
19.0ms	(* (+ 2.30753 (* x 0.27061)) (* (/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
12.0ms	(* (/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
67.0ms	(/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
125.0ms	(* (+ 2.30753 (* x 0.27061)) (* (/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
90.0ms	(* (/ 1 (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	798	2972
1	5002	2936

prune318.0ms

Filtered

154 candidates to 85 candidates (55.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	154	2	156

Merged error: 0b

Counts

156 → 2

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample332.0ms

Algorithm

intervals

Results

241.0ms

8000×

body

valid