Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.1s)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`times-frac`
12×	`difference-of-squares`
11×	`pow1`
8×	`add-exp-log` `flip3--` `swap-sqr` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`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 → 107

Calls

4 calls:

108.0ms	(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
199.0ms	(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
25.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
31.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))) 2.0))
54.0ms	(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
36.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
37.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify2.3s

Counts

119 → 119

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	172	3148
1	409	2906
2	1332	2658
3	4970	2260
done	5000	2251

prune248.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-log-exp`
8×	`difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

4 → 60

Calls

4 calls:

25.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
26.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
25.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
27.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
36.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
38.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
38.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify1.9s

Counts

72 → 72

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	52	1188
1	123	1144
2	299	1032
3	911	1032
4	4027	1024
done	5000	1024

prune259.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	85
1	27	85
done	27	85

end0.0ms

sample470.0ms

Algorithm

intervals

Results

339.0ms

8000×

body

valid