Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune1.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-add`
8×	`frac-2neg` `clear-num`
6×	`associate-/r/`
3×	`fma-def` `div-inv`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`+-commutative`

Counts

3 → 25

Calls

3 calls:

3.0ms	(/ x (+ x 1.0))
7.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms	(/ 1.0 (- x 1.0))

series183.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
117.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
31.0ms	(/ 1.0 (- x 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	329	221
1	1342	200
2	5002	196

prune69.0ms

Filtered

34 candidates to 29 candidates (85.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (- x 1.0) 1.0) (+ x 1.0))
0.0b	(fma (/ (- x 1.0) 1.0) x (+ x 1.0))
15.3b	(/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (/ (- x 1.0) 1.0) (+ x 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-times`
17×	`associate-/r/`
12×	`flip3-+` `flip-+` `associate-/l/`
10×	`associate-*l/`
7×	`frac-2neg` `clear-num`
6×	`flip3--` `flip--`
4×	`associate-*r/`
3×	`associate-/r*` `div-inv`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 47

Calls

3 calls:

5.0ms	(* (/ (- x 1.0) 1.0) (+ x 1.0))
1.0ms	(fma (/ (- x 1.0) 1.0) x (+ x 1.0))
7.0ms	(/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (/ (- x 1.0) 1.0) (+ x 1.0)))

series328.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (/ (- x 1.0) 1.0) (+ x 1.0))
102.0ms	(fma (/ (- x 1.0) 1.0) x (+ x 1.0))
136.0ms	(/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (/ (- x 1.0) 1.0) (+ x 1.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	361	417
1	1875	407
2	5001	396

prune143.0ms

Filtered

56 candidates to 47 candidates (83.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ (- x 1.0) 1.0) x (+ x 1.0))
0.1b	(* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))
15.4b	(* (/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))) (* (* 1.0 (+ x 1.0)) (- x 1.0)))
22.4b	(/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

462×	`*-commutative`
440×	`difference-of-squares`
364×	`frac-times`
260×	`associate-/r*`
254×	`associate-*r/`
176×	`swap-sqr`
108×	`flip3--` `flip--`
95×	`associate-*l/`
90×	`flip3-+` `flip-+`
55×	`associate-l`
48×	`associate-r`
16×	`associate-/r/`
14×	`distribute-rgt-in` `distribute-lft-in`
10×	`frac-2neg` `clear-num`
8×	`prod-diff`
6×	`sub-neg`
2×	`div-inv`
1×	`pow2` `fma-udef`

Counts

4 → 375

Calls

4 calls:

1.0ms	(fma (/ (- x 1.0) 1.0) x (+ x 1.0))
11.0ms	(* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))
26.0ms	(* (/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))) (* (* 1.0 (+ x 1.0)) (- x 1.0)))
12.0ms	(/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))))

series499.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(fma (/ (- x 1.0) 1.0) x (+ x 1.0))
48.0ms	(* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))
212.0ms	(* (/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0)))) (* (* 1.0 (+ x 1.0)) (- x 1.0)))
133.0ms	(/ (fma (/ (- x 1.0) 1.0) x (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))))

simplify101.0ms

Algorithm

egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1025	7394
1	5002	7330

prune437.0ms

Filtered

387 candidates to 117 candidates (30.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	387	3	390

Merged error: 0b

Counts

390 → 3

regimes26.0ms

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	9	5
1	9	5

end0.0ms

sample266.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid