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

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ x (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
132.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune173.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	1	97

Merged error: 0b

Counts

97 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

204×	`*-un-lft-identity`
167×	`times-frac`
158×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
51×	`swap-sqr`
39×	`associate-r` `associate-l`
30×	`add-exp-log` `add-cbrt-cube`
29×	`distribute-lft-out--`
20×	`distribute-lft-out` `difference-of-squares`
18×	`pow1` `associate-/r/`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `frac-sub`

Counts

4 → 244

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
29.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
19.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
21.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (- x 1.0))
97.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
50.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
40.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1047	1994
1	5001	1826

prune491.0ms

Filtered

256 candidates to 159 candidates (62.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	1	257

Merged error: 0b

Counts

257 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	12	17

end0.0ms

sample273.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid