Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

159×	`*-un-lft-identity`
110×	`frac-add`
107×	`add-sqr-sqrt`
103×	`associate-/r*`
73×	`add-cube-cbrt`
69×	`associate-/l*`
50×	`times-frac`
23×	`frac-2neg` `clear-num`
22×	`distribute-lft-out`
21×	`fma-def`
19×	`distribute-lft-out--`
17×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `flip--` `flip-+`
1×	`+-commutative` `sum-log`

Counts

3 → 223

Calls

3 calls:

33.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series197.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
35.0ms	(/ 1.0 (- x 1.0))
35.0ms	(/ x (+ x 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1267	2063
1	5001	1979

prune291.0ms

Filtered

232 candidates to 147 candidates (63.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	1	233

Merged error: 0b

Counts

233 → 1

localize9.0ms

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	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b	(/ x (+ x 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
110×	`add-sqr-sqrt` `frac-add`
103×	`associate-/r*`
76×	`add-cube-cbrt`
69×	`associate-/l*`
58×	`times-frac`
29×	`distribute-lft-out`
23×	`frac-2neg` `clear-num`
21×	`fma-def` `distribute-lft-out--`
17×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`unpow-prod-down`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `div-inv`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `flip--` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `sum-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 249

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
32.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
25.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
5.0ms	(/ x (+ x 1.0))

series390.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (- x 1.0))
130.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
190.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
40.0ms	(/ x (+ x 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1363	2269
1	5002	2172

prune613.0ms

Filtered

261 candidates to 163 candidates (62.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	261	1	262

Merged error: 0b

Counts

262 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample278.0ms

Algorithm

intervals

Results

189.0ms

8000×

body

valid