Details

sample338.0ms

Algorithm

intervals

Results

322.0ms

256×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.7s)

Iter	Nodes	Cost
0	12	29
1	20	29
2	37	29
3	84	29
4	232	29
5	547	29
6	1153	29
7	2437	25
8	4940	25
done	5002	25

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite728.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
27×	`times-frac`
18×	`difference-of-squares`
16×	`add-cube-cbrt`
11×	`pow1`
9×	`swap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
7×	`associate-r` `associate-l`
4×	`frac-times` `sub-neg`
3×	`associate-/r` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

19.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
577.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
57.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
100.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
74.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
64.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify1.4s

Counts

124 → 124

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	183	3866
1	442	3580
2	1487	3290
done	5000	2892

prune513.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (+ 3 1))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`times-frac` `difference-of-squares`
10×	`add-log-exp`
7×	`unpow-prod-down`
6×	`add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`unpow-prod-up` `pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

171.0ms	(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (+ 3 1))
95.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
61.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
77.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (+ 3 1))
83.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
88.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
76.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify1.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (606.0ms)

Iter	Nodes	Cost
0	107	1723
1	268	1525
2	628	1427
3	1857	1425
done	5000	1425

prune444.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	49
1	25	47
done	25	47

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid