Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

3.0ms	(+ 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)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 2.30753 (* x 0.27061))
85.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	250	211
1	797	180
2	3274	165
3	5001	159

prune80.0ms

Filtered

29 candidates to 22 candidates (75.9%)

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: 0.0b

Counts

30 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.4b	(/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))
14.6b	(* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times`
8×	`associate-/r*`
6×	`flip3-+` `flip-+`
5×	`associate-r/` `clear-num` `-commutative`
4×	`frac-2neg`
2×	`associate-*l/` `div-inv`
1×	`sub-neg` `flip3--` `associate-r` `un-div-inv` `flip--` `fma-udef`

Counts

4 → 30

Calls

4 calls:

2.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))
5.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))))
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
44.0ms	(/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))
65.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	312	337
1	1499	292
2	5001	282

prune114.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))
14.6b	(* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)))
15.0b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
18.6b	(/ (- (pow x 3) (pow (* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))) 3)) (fma (fma (fma 0.27061 x 2.30753) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)) x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (pow x 2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times`
8×	`associate-/r*`
7×	`clear-num`
6×	`frac-2neg` `flip3-+` `flip-+`
5×	`associate-r/` `-commutative`
4×	`div-inv`
2×	`associate-l/` `associate-/l/` `associate-/l` `sqr-pow`
1×	`difference-cubes` `flip3--` `div-sub` `associate-r` `un-div-inv` `flip--` `difference-of-squares`

Counts

4 → 36

Calls

4 calls:

3.0ms	(/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))
5.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
9.0ms	(/ (- (pow x 3) (pow (* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))) 3)) (fma (fma (fma 0.27061 x 2.30753) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)) x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (pow x 2)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))
64.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)))
63.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
307.0ms	(/ (- (pow x 3) (pow (* (+ 2.30753 (* x 0.27061)) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2))) 3)) (fma (fma (fma 0.27061 x 2.30753) (/ 2 (* (fma x (fma 0.04481 x 0.99229) 1.0) 2)) x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (pow x 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	488
1	1555	457
2	5001	451

prune234.0ms

Filtered

48 candidates to 41 candidates (85.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
1.2b	(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
12.8b	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
22.4b	(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-commutative`
96×	`prod-diff`
80×	`associate-r`
74×	`associate-*l/`
68×	`associate-+r+`
43×	`flip3-+` `flip-+`
36×	`distribute-rgt-in` `distribute-lft-in`
31×	`associate-l`
30×	`associate-*r/`
28×	`swap-sqr`
24×	`frac-times`
16×	`frac-sub`
8×	`fma-neg` `associate-/l/`
4×	`distribute-rgt-out--` `frac-2neg` `clear-num` `associate-/r*` `associate-/r/` `sum-cubes` `sub-div`
3×	`sub-neg`
2×	`+-commutative` `div-inv` `distribute-lft-out--`
1×	`pow2` `flip3--` `flip--`

Counts

4 → 190

Calls

4 calls:

14.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
22.0ms	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
26.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
115.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
42.0ms	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
133.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1529	5693
1	5001	4942

prune456.0ms

Filtered

202 candidates to 81 candidates (40.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	202	3	205

Merged error: 0b

Counts

205 → 3

regimes19.0ms

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	19	8
1	19	8

end0.0ms

sample357.0ms

Algorithm

intervals

Results

259.0ms

8000×

body

valid