Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 21

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
4.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	245	220
1	765	220
2	3330	203
3	5002	203

prune71.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	1	34

Merged error: 0.0b

Counts

34 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 34

Calls

4 calls:

9.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
4.0ms	(* x (+ 0.99229 (* x 0.04481)))
4.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
38.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
58.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	329	338
1	1360	333
2	5002	317

prune102.0ms

Filtered

46 candidates to 31 candidates (67.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	1	47

Merged error: 0.0b

Counts

47 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	10
1	28	10

end0.0ms

sample497.0ms

Algorithm

intervals

Results

405.0ms

8000×

body

valid