Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

8.0ms

(/ (+ x 1.0) (- 1.0 x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify85.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	205	309
1	681	292
2	2801	286
3	5002	286

prune73.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.1b	(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
32×	`times-frac`
28×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
15×	`add-exp-log`
13×	`associate-/l*`
12×	`flip3-+` `flip-+`
11×	`associate-*r/`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube`
5×	`pow1` `clear-num`
4×	`frac-2neg` `div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 122

Calls

2 calls:

6.0ms	(/ 1 (- 1.0 x))
19.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (- 1.0 x))
32.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	440	764
1	2278	686
2	5003	623

prune162.0ms

Filtered

128 candidates to 70 candidates (54.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	128	3	131

Merged error: 0b

Counts

131 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ x 1.0) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
0.6b	(/ 1 (- (* 1.0 1.0) (* x x)))
11.7b	(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

1269×	`add-sqr-sqrt`
550×	`frac-times` `difference-of-squares`
429×	`associate-/r*`
416×	`*-un-lft-identity`
303×	`times-frac`
302×	`associate-l`
280×	`flip3-+` `flip-+`
264×	`swap-sqr`
233×	`unswap-sqr`
223×	`*-commutative`
158×	`associate-*l/`
143×	`add-cube-cbrt`
127×	`associate-*r/`
125×	`associate-r`
110×	`distribute-lft-out--`
39×	`associate-/l*`
31×	`add-exp-log`
19×	`add-cbrt-cube`
13×	`frac-2neg` `prod-exp` `clear-num`
11×	`pow1`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`cbrt-unprod`
6×	`+-commutative` `div-exp` `associate-/r/`
4×	`pow-prod-down`
3×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `distribute-lft-out` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 913

Calls

3 calls:

104.0ms	(* (+ x 1.0) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
23.0ms	(/ 1 (- (* 1.0 1.0) (* x x)))
51.0ms	(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

series135.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (+ x 1.0) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
50.0ms	(/ 1 (- (* 1.0 1.0) (* x x)))
35.0ms	(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

simplify145.0ms

Algorithm

egg-herbie

Counts

922 → 922

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2457	8453
1	5001	8058

prune923.0ms

Filtered

922 candidates to 314 candidates (34.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	921	1	922
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	922	3	925

Merged error: 0b

Counts

925 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x))))
0.1b	(* (+ x 1.0) (+ (/ x (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x)))))
0.6b	(/ 1.0 (- (* 1.0 1.0) (* x x)))
12.4b	(/ x (- (* 1.0 1.0) (* x x)))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

17360×	`add-sqr-sqrt`
10362×	`associate-/r*`
8324×	`difference-of-squares`
6084×	`frac-add`
5184×	`*-un-lft-identity`
3992×	`swap-sqr`
3345×	`*-commutative` `unswap-sqr`
3046×	`frac-times`
1684×	`distribute-lft-out--`
1528×	`flip3-+` `flip-+`
1523×	`associate-*r/`
1364×	`associate-l`
942×	`associate-/l*`
710×	`add-cube-cbrt`
634×	`times-frac`
314×	`frac-2neg` `clear-num`
221×	`distribute-lft-out`
116×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`+-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/`
1×	`pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 6650

Calls

4 calls:

446.0ms	(+ (/ x (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x))))
775.0ms	(* (+ x 1.0) (+ (/ x (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x)))))
23.0ms	(/ 1.0 (- (* 1.0 1.0) (* x x)))
23.0ms	(/ x (- (* 1.0 1.0) (* x x)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (/ x (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x))))
75.0ms	(* (+ x 1.0) (+ (/ x (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x)))))
45.0ms	(/ 1.0 (- (* 1.0 1.0) (* x x)))
66.0ms	(/ x (- (* 1.0 1.0) (* x x)))

simplify1.7s

Algorithm

egg-herbie

Counts

6662 → 6662

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5001	134625

prune2.7s

Filtered

6662 candidates to 782 candidates (11.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	6662	0	6662
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	6662	3	6665

Merged error: 0b

Counts

6665 → 3

regimes24.0ms

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	6	3
1	6	3

end0.0ms

sample217.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid