Details

sample639.0ms

Algorithm

intervals

Results

251.0ms	60×	body	2560	valid
182.0ms	86×	body	1280	valid
60.0ms	60×	body	640	valid
20.0ms	26×	body	320	valid
5.0ms	17×	body	80	valid
4.0ms	7×	body	160	valid

simplify82.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.0b	(/ (- x (sin x)) (- x (tan x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
15×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1` `insert-posit16`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 83

Calls

3 calls:

Slowest

29.0ms	(/ (- x (sin x)) (- x (tan x)))
7.0ms	(- x (sin x))
5.0ms	(- x (tan x))

series256.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(- x (tan x))
93.0ms	(/ (- x (sin x)) (- x (tan x)))
65.0ms	(- x (sin x))

simplify971.0ms

Counts: 92 → 92

prune763.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.0b	(/ (- x (sin x)) (- x (tan x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
15×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1` `insert-posit16`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 83

Calls

3 calls:

Slowest

16.0ms	(/ (- x (sin x)) (- x (tan x)))
5.0ms	(- x (sin x))
4.0ms	(- x (tan x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

151.0ms	(/ (- x (sin x)) (- x (tan x)))
61.0ms	(- x (sin x))
56.0ms	(- x (tan x))

simplify1.0s

Counts: 92 → 92

prune765.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.0b	(/ 1 (/ (- x (tan x)) (- x (sin x))))
0.0b	(/ (- x (tan x)) (- x (sin x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
200×	`add-sqr-sqrt` `*-un-lft-identity`
92×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`flip3--` `div-exp` `flip--` `associate-/l*` `add-log-exp`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

4 → 232

Calls

4 calls:

Slowest

26.0ms	(/ (- x (tan x)) (- x (sin x)))
17.0ms	(/ 1 (/ (- x (tan x)) (- x (sin x))))
5.0ms	(- x (sin x))
4.0ms	(- x (tan x))

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

91.0ms	(/ (- x (tan x)) (- x (sin x)))
85.0ms	(/ 1 (/ (- x (tan x)) (- x (sin x))))
65.0ms	(- x (tan x))
46.0ms	(- x (sin x))

simplify1.1s

Counts: 244 → 244

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (sin x))
0.8b	(- x (sin x))
0.8b	(- x (tan x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

Slowest

10.0ms	(- x (sin x))
9.0ms	(- x (sin x))
9.0ms	(- x (sin x))
9.0ms	(- x (tan x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(- x (tan x))
60.0ms	(- x (sin x))
52.0ms	(- x (sin x))
43.0ms	(- x (sin x))

simplify766.0ms

Counts: 72 → 72

prune721.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.5b

bsearch138.0ms

end0.0ms

sample16.4s

Algorithm

intervals

Results

6.6s	1618×	body	2560	valid
5.2s	2674×	body	1280	valid
2.5s	1914×	body	640	valid
1.5s	989×	body	320	valid
263.0ms	457×	body	160	valid
90.0ms	348×	body	80	valid