Details

sample77.0ms

Algorithm

intervals

Results

65.0ms

256×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 7 (2.3s)

Iter	Nodes	Cost
0	12	363
1	20	363
2	37	363
3	82	363
4	228	363
5	543	363
6	1100	363
7	3233	323
done	5004	323

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 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)))))
2.1b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.1b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
399.0ms	(* (- 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))))
71.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
71.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
79.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
59.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	143	45933
1	409	39405
2	1696	38597
done	5021	38557

prune502.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
0.3b	(* (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
2.1b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.1b	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt` `times-frac`
83×	`*-un-lft-identity`
82×	`sqrt-prod`
47×	`add-cube-cbrt`
28×	`frac-times`
20×	`flip3--` `flip--`
19×	`difference-of-squares`
14×	`associate-*l/`
13×	`associate-r` `distribute-lft-out`
10×	`pow1` `flip3-+` `flip-+`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-*r/` `add-log-exp`
5×	`div-inv` `distribute-lft-out--`
4×	`sub-neg`
3×	`rem-sqrt-square` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-/r/`
1×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-l` `*-commutative`

Counts

4 → 167

Calls

4 calls:

30.0ms	(sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
984.0ms	(* (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
77.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
107.0ms	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
723.0ms	(* (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
82.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
200.0ms	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify687.0ms

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	446	113700