Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	12	29
1	20	29
2	37	29
3	84	29
4	245	29
5	689	29
6	2704	29
done	5000	25

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))))
0.0b	(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
3.8b	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
3.8b	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
12×	`difference-of-squares`
11×	`pow1`
10×	`add-log-exp`
8×	`add-cube-cbrt` `flip3--` `swap-sqr` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `sub-neg` `times-frac` `associate-r` `associate-l` `add-cbrt-cube`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in`
2×	`diff-log` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `pow-prod-down` `prod-exp` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

9.0ms	(+ 2.0 (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))))
317.0ms	(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
54.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
37.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ 2.0 (* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))))
76.0ms	(* (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))))
47.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
50.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify1.6s

Counts

105 → 105

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	132	2518
1	378	2302
2	2129	2058
done	5000	1906

prune315.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) 3)
0.1b	(cbrt (pow (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) 3))
3.8b	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
3.8b	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod` `difference-of-squares`
10×	`add-cube-cbrt`
8×	`add-log-exp`
6×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 90

Calls

4 calls:

75.0ms	(pow (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) 3)
76.0ms	(cbrt (pow (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) 3))
55.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
42.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(pow (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) 3)
77.0ms	(cbrt (pow (- 2.0 (/ 2.0 (+ (* t 1.0) 1.0))) 3))
71.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))
71.0ms	(- 2.0 (/ 2.0 (+ (* t 1.0) 1.0)))

simplify1.9s

Counts

102 → 102

Iterations

Useful iterations: 2 (383.0ms)

Iter	Nodes	Cost
0	121	1980
1	366	1717
2	1997	1547
done	5004	1547

prune295.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	28
1	18	28
done	18	28

end0.0ms

sample899.0ms

Algorithm

intervals

Results

688.0ms

8000×

body

valid