Details

sample81.0ms

Algorithm

intervals

Results

31.0ms

256×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 7 (5.5s)

Iter	Nodes	Cost
0	12	29
1	20	29
2	38	28
3	87	28
4	253	28
5	657	28
6	1527	26
7	3917	22
done	5000	22

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite997.0ms

Algorithm

rewrite-expression-head

Rules

1084×	`*-un-lft-identity`
1083×	`times-frac`
810×	`add-sqr-sqrt`
754×	`add-cube-cbrt`
696×	`prod-diff`
176×	`distribute-rgt-in` `distribute-lft-in`
156×	`distribute-lft-out`
61×	`div-inv`
26×	`associate-/r/`
18×	`difference-of-squares`
13×	`flip3-+` `flip-+`
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`
6×	`fma-neg`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`diff-log` `associate-r/` `associate-l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 822

Calls

4 calls:

16.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
602.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
107.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
125.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
87.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
65.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
75.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify2.3s

Counts

834 → 834

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	964	65846
1	1900	61174
done	5000	49051

prune2.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (/ 1.0 t)) t)
0.1b	(* (+ 1.0 (/ 1.0 t)) t)
6.6b	(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))
6.6b	(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
48×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
18×	`times-frac`
16×	`associate-*l/`
12×	`associate-/r/`
8×	`pow1` `add-exp-log` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`fma-neg` `associate-r` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

64.0ms	(* (+ 1.0 (/ 1.0 t)) t)
83.0ms	(* (+ 1.0 (/ 1.0 t)) t)
36.0ms	(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))
46.0ms	(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ 1.0 (/ 1.0 t)) t)
107.0ms	(* (+ 1.0 (/ 1.0 t)) t)
82.0ms	(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))
71.0ms	(- 2.0 (/ 2.0 (* (+ 1.0 (/ 1.0 t)) t)))

simplify1.8s

Counts

150 → 150

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	168	4644
1	417	3900
2	1303	2954
done	5000	2474

prune565.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	30
1	15	30
done	15	30

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.4s

8000×

body

valid