Details

sample463.0ms

Algorithm

intervals

Results

287.0ms	117×	body	2560	valid
87.0ms	70×	body	1280	valid
34.0ms	23×	body	320	valid
31.0ms	39×	body	640	valid
10.0ms	256×	pre	80	true
2.0ms	6×	body	160	valid
0.0ms	1×	body	80	valid

simplify30.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	8
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize12.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (/ 1 x) (/ 1 (tan x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
223×	`add-sqr-sqrt`
215×	`*-un-lft-identity`
199×	`add-cube-cbrt`
182×	`prod-diff`
32×	`div-inv`
13×	`fma-neg` `tan-quot` `associate-/r/`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 227

Calls

1 calls:

18.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify1.4s

Counts

230 → 230

Iterations

Iter	Nodes
3	2819
2	1238
1	717
0	319

prune940.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 1/45 (* x x))
0.4b	(* x (+ 1/3 (* 1/45 (* x x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 47

Calls

2 calls:

13.0ms	(* 1/45 (* x x))
11.0ms	(* x (+ 1/3 (* 1/45 (* x x))))

series125.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* 1/45 (* x x))
93.0ms	(* x (+ 1/3 (* 1/45 (* x x))))

simplify1.6s

Counts

53 → 53

Iterations

Iter	Nodes
3	4359
2	880
1	231
0	82

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/45 (* x x))
0.1b	(* 1/45 (* x x))
0.3b	(/ (* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x))))) (- 1/3 (* 1/45 (* x x))))
0.4b	(* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x)))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `flip3--` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-diff` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

26.0ms	(* 1/45 (* x x))
24.0ms	(* 1/45 (* x x))
40.0ms	(/ (* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x))))) (- 1/3 (* 1/45 (* x x))))
45.0ms	(* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x)))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 1/45 (* x x))
38.0ms	(* 1/45 (* x x))
245.0ms	(/ (* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x))))) (- 1/3 (* 1/45 (* x x))))
184.0ms	(* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x)))))

simplify5.8s

Counts

114 → 114

Iterations

Iter	Nodes
3	9899
2	1583
1	417
0	149

prune928.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 1/45 x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* 1/45 x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 1/45 x)

simplify3.1s

Counts

24 → 24

Iterations

Iter	Nodes
8	4587
7	1396
6	589
5	326
4	215
3	161
2	101
1	61
0	33

prune152.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
2	13
1	13
0	12

end0.0ms

sample16.8s

Algorithm

intervals

Results

9.8s	3219×	body	2560	valid
4.3s	2495×	body	1280	valid
1.1s	1261×	body	640	valid
888.0ms	661×	body	320	valid
347.0ms	8000×	pre	80	true
123.0ms	322×	body	160	valid
7.0ms	42×	body	80	valid