Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2972
5	703
4	242
3	84
2	37
1	20
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 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)))))
2.9b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.9b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

46.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
497.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
61.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
91.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
90.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
80.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
88.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify1.8s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	3908
1	734
0	265

prune918.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (/ 1.0 t) 1.0) t)
0.2b	(pow (/ 2.0 (* (+ (/ 1.0 t) 1.0) t)) 3)
2.9b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
9.2b	(- (pow 2.0 3) (pow (/ 2.0 (* (+ (/ 1.0 t) 1.0) t)) 3))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`unpow-prod-down` `cube-prod`
19×	`difference-of-squares`
12×	`add-cbrt-cube` `add-exp-log`
11×	`add-cube-cbrt`
9×	`times-frac` `sqr-pow`
8×	`add-log-exp`
7×	`pow1`
6×	`associate-*l/` `distribute-lft-out--`
4×	`associate-l` `associate-/r/`
3×	`pow-unpow` `flip3-+` `associate-r` `pow-exp` `flip-+` `rem-cube-cbrt`
2×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`cube-div` `cube-mult` `pow-to-exp` `difference-cubes` `pow-pow` `unpow3` `pow-prod-down` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

58.0ms	(* (+ (/ 1.0 t) 1.0) t)
29.0ms	(pow (/ 2.0 (* (+ (/ 1.0 t) 1.0) t)) 3)
82.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms	(- (pow 2.0 3) (pow (/ 2.0 (* (+ (/ 1.0 t) 1.0) t)) 3))

series400.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (+ (/ 1.0 t) 1.0) t)
97.0ms	(pow (/ 2.0 (* (+ (/ 1.0 t) 1.0) t)) 3)
72.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
122.0ms	(- (pow 2.0 3) (pow (/ 2.0 (* (+ (/ 1.0 t) 1.0) t)) 3))

simplify2.0s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	3777
1	700
0	225

prune811.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8000×

body

valid