Details

sample51.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 6 (1.1s)

Iter	Nodes	Cost
0	12	29
1	20	29
2	38	28
3	87	28
4	276	28
5	815	28
6	3181	26
done	5000	26

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (fma 1.0 t (/ 1.0 1)))
0.0b	(fma (- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1)))) (- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1)))) 2.0)
3.8b	(- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1))))
3.8b	(- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
86×	`*-un-lft-identity`
82×	`add-cube-cbrt`
78×	`prod-diff`
65×	`times-frac`
8×	`add-log-exp`
7×	`div-inv`
6×	`add-exp-log` `fma-neg` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef`

Counts

4 → 157

Calls

4 calls:

5.0ms	(/ 2.0 (fma 1.0 t (/ 1.0 1)))
0.0ms	(fma (- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1)))) (- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1)))) 2.0)
14.0ms	(- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1))))
18.0ms	(- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 2.0 (fma 1.0 t (/ 1.0 1)))
165.0ms	(fma (- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1)))) (- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1)))) 2.0)
68.0ms	(- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1))))
62.0ms	(- 2.0 (/ 2.0 (fma 1.0 t (/ 1.0 1))))

simplify2.5s

Counts

169 → 169

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	211	6851
1	529	5066
2	2354	3638
done	5001	2740

prune472.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0) 3)
0.5b	(cbrt (pow (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0) 3))
3.8b	(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
3.8b	(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
80×	`add-cube-cbrt`
78×	`prod-diff`
56×	`times-frac`
12×	`cbrt-prod`
8×	`add-log-exp`
6×	`unpow-prod-down` `fma-neg` `cube-prod` `div-inv`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `flip--` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 166

Calls

4 calls:

6.0ms	(pow (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0) 3)
11.0ms	(cbrt (pow (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0) 3))
13.0ms	(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
14.0ms	(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(pow (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0) 3)
108.0ms	(cbrt (pow (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0) 3))
72.0ms	(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
69.0ms	(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

simplify2.5s

Counts

178 → 178

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	236	6671
1	613	5885
2	2857	4297
done	5000	3403

prune408.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
done	12	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8000×

body

valid