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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
110×	`frac-add`
103×	`associate-/r*`
92×	`add-sqr-sqrt`
69×	`associate-/l*`
64×	`add-cube-cbrt`
35×	`times-frac`
23×	`frac-2neg` `clear-num`
22×	`distribute-lft-out`
16×	`distribute-lft-out--`
14×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `sum-log` `flip--`

Counts

3 → 196

Calls

3 calls:

30.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series205.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms	(/ 1.0 (- x 1.0))
36.0ms	(/ x (+ x 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1175	2117
1	5002	2068

prune242.0ms

Filtered

205 candidates to 123 candidates (60.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	205	1	206

Merged error: 0b

Counts

206 → 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))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
110×	`frac-add`
103×	`associate-/r*`
95×	`add-sqr-sqrt`
69×	`associate-/l*`
67×	`add-cube-cbrt`
43×	`times-frac`
29×	`distribute-lft-out`
23×	`frac-2neg` `clear-num`
18×	`distribute-lft-out--`
14×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`unpow-prod-down`
6×	`add-log-exp`
5×	`pow1`
4×	`associate-/r/`
3×	`pow-unpow`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 220

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
30.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
24.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
5.0ms	(/ x (+ x 1.0))

series412.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
138.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
203.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
38.0ms	(/ x (+ x 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1265	2313
1	5001	2249

prune364.0ms

Filtered

232 candidates to 137 candidates (59.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

233 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample285.0ms

Algorithm

intervals

Results

189.0ms

8000×

body

valid