Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	44	35
3	119	35
4	298	35
5	493	35
6	611	35
7	826	35
8	1170	35
9	4552	35
done	5000	35

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

0.0b

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

0.0b

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log` `add-cbrt-cube`
55×	`*-un-lft-identity`
49×	`times-frac`
31×	`add-sqr-sqrt`
30×	`prod-exp` `cbrt-unprod`
27×	`add-cube-cbrt`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l`
18×	`associate-/r/`
17×	`pow1`
12×	`distribute-lft-out`
10×	`flip3-+` `flip-+`
9×	`div-inv`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num`

Counts

3 → 165

Calls

3 calls:

12.0ms

(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

34.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

31.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms

(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

50.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

47.0ms

(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify812.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	202	4774
1	594	4219
2	2400	3375
done	5001	3375

prune284.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
0.0b	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log` `add-cbrt-cube`
63×	`*-un-lft-identity`
58×	`times-frac`
39×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
30×	`prod-exp` `cbrt-unprod`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
18×	`pow1`
15×	`exp-prod`
12×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`div-inv`
5×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `rem-exp-log`

Counts

4 → 188

Calls

4 calls:

13.0ms	(exp (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
12.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
35.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(exp (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
123.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify1.0s

Counts

200 → 200

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	239	5779
1	661	5213
2	2559	4275
done	5000	4275

prune417.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
0.1b	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

822×	`add-exp-log`
816×	`add-cbrt-cube`
431×	`prod-exp`
430×	`cbrt-unprod`
266×	`div-exp`
264×	`cbrt-undiv`
130×	`pow1`
53×	`*-un-lft-identity`
44×	`times-frac`
38×	`pow-prod-up`
27×	`add-sqr-sqrt`
25×	`swap-sqr` `pow-prod-down`
24×	`pow-sqr`
23×	`add-cube-cbrt`
21×	`associate-r` `associate-l`
20×	`pow-plus`
19×	`frac-times`
18×	`associate-/r/`
15×	`pow2`
13×	`associate-r/` `associate-l/` `distribute-lft-out`
10×	`unpow-prod-down`
9×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp` `*-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `sqr-pow`

Counts

4 → 430

Calls

4 calls:

34.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
9.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
108.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
70.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
70.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

simplify1.6s

Counts

442 → 442

Iterations

Useful iterations: 2 (721.0ms)

Iter	Nodes	Cost
0	434	18080
1	1226	9691
2	3885	4568
done	5000	4568

prune603.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	87
1	29	87
done	29	87

end0.0ms

sample310.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid