Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	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	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 20

Calls

4 calls:

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

series184.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 2.30753 (* x 0.27061))
31.0ms	(+ 0.99229 (* x 0.04481))
61.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	226	156
1	758	139
2	3563	137
3	5001	134

prune65.0ms

Filtered

32 candidates to 22 candidates (68.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
14.8b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 30

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
4.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
7.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 0.99229 (* x 0.04481))
62.0ms	(* x (+ 0.99229 (* x 0.04481)))
56.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
54.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify32.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	272	227
1	979	202
2	5002	182

prune102.0ms

Filtered

42 candidates to 33 candidates (78.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753))
0.1b	(/ 1 (* (/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753)) (- 2.30753 (* x 0.27061))))
0.2b	(* (/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753)) (- 2.30753 (* x 0.27061)))
14.8b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

45×	`associate-/r/`
36×	`frac-times`
28×	`flip3--` `flip--`
21×	`associate-/l/` `associate-/l*`
18×	`associate-*l/`
16×	`frac-2neg` `clear-num`
12×	`div-inv`
4×	`associate-*r/`
3×	`associate-/r*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`
1×	`inv-pow`

Counts

4 → 85

Calls

4 calls:

4.0ms	(/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753))
9.0ms	(/ 1 (* (/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753)) (- 2.30753 (* x 0.27061))))
7.0ms	(* (/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753)) (- 2.30753 (* x 0.27061)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753))
62.0ms	(/ 1 (* (/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753)) (- 2.30753 (* x 0.27061))))
57.0ms	(* (/ (/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061))) (fma 0.27061 x 2.30753)) (- 2.30753 (* x 0.27061)))
64.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (- 2.30753 (* x 0.27061)))

simplify76.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	565	967
1	2597	882
2	5001	866

prune307.0ms

Filtered

97 candidates to 82 candidates (84.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	97	2	99

Merged error: 0b

Counts

99 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 0.27061) (* x 0.27061))
0.3b	(* 2.30753 (* x 0.27061))
14.8b	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma x (fma 0.04481 x 0.99229) 1.0)) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
20.1b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-/l/`
7×	`*-commutative`
4×	`associate-r`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`
2×	`swap-sqr` `associate-l` `associate-/r/` `sum-cubes`
1×	`pow2`

Counts

4 → 29

Calls

4 calls:

4.0ms	(* (* x 0.27061) (* x 0.27061))
3.0ms	(* 2.30753 (* x 0.27061))
16.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma x (fma 0.04481 x 0.99229) 1.0)) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
7.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma x (fma 0.04481 x 0.99229) 1.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 0.27061) (* x 0.27061))
15.0ms	(* 2.30753 (* x 0.27061))
101.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma x (fma 0.04481 x 0.99229) 1.0)) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
66.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify30.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	247	277
1	840	253
2	5001	250

prune128.0ms

Filtered

41 candidates to 32 candidates (78.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Merged error: 0b

Counts

43 → 2

regimes13.0ms

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	21	12
1	21	12

end0.0ms

sample329.0ms

Algorithm

intervals

Results

241.0ms

8000×

body

valid