Details

sample447.0ms

Algorithm

intervals

Results

292.0ms	105×	body	2560	valid
98.0ms	86×	body	1280	valid
21.0ms	35×	body	640	valid
10.0ms	256×	pre	80	true
7.0ms	18×	body	320	valid
3.0ms	11×	body	160	valid
0.0ms	1×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize20.0ms

Local error

Found 1 expressions with local error:

3.0b	(- (/ 1 x) (/ 1 (tan x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
4×	`div-inv`
3×	`add-cube-cbrt` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `flip--`

Counts

1 → 30

Calls

1 calls:

50.0ms

(- (/ 1 x) (/ 1 (tan x)))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(- (/ 1 x) (/ 1 (tan x)))

simplify1.9s

Counts

33 → 33

Iterations

Iter	Nodes
done	5006
4	1949
3	850
2	427
1	176
0	82

prune95.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/945)
0.2b	(* x (* x 1/45))
0.3b	(* x 1/45)
0.4b	(* x (+ 1/3 (* x (* x 1/45))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (pow x 5) 2/945)
16.0ms	(* x (* x 1/45))
13.0ms	(* x 1/45)
30.0ms	(* x (+ 1/3 (* x (* x 1/45))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (pow x 5) 2/945)
31.0ms	(* x (* x 1/45))
26.0ms	(* x 1/45)
169.0ms	(* x (+ 1/3 (* x (* x 1/45))))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1234
1	351
0	132

prune359.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/45)
0.3b	(* x 1/45)
0.3b	(* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x))))
0.4b	(/ (* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x)))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

rewrite479.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `times-frac` `pow-prod-down` `-commutative` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* x 1/45)
11.0ms	(* x 1/45)
25.0ms	(* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x))))
429.0ms	(/ (* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x)))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

series734.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x 1/45)
17.0ms	(* x 1/45)
271.0ms	(* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x))))
421.0ms	(/ (* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x)))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1913
1	416
0	134

prune540.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 1/45))
0.2b	(* (+ (* x (* x 1/45)) -1/3) (* x (* x 1/45)))
0.3b	(* x 1/45)
0.3b	(* x 1/45)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 81

Calls

4 calls:

28.0ms	(* x (* x 1/45))
133.0ms	(* (+ (* x (* x 1/45)) -1/3) (* x (* x 1/45)))
17.0ms	(* x 1/45)
7.0ms	(* x 1/45)

series246.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* x (* x 1/45))
160.0ms	(* (+ (* x (* x 1/45)) -1/3) (* x (* x 1/45)))
27.0ms	(* x 1/45)
25.0ms	(* x 1/45)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	897
1	245
0	90

prune391.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	23

end0.0ms

sample12.7s

Algorithm

intervals

Results

8.0s	3269×	body	2560	valid
3.1s	2518×	body	1280	valid
795.0ms	1232×	body	640	valid
331.0ms	623×	body	320	valid
276.0ms	8000×	pre	80	true
79.0ms	325×	body	160	valid
4.0ms	33×	body	80	valid