Details

sample489.0ms

Algorithm

intervals

Results

205.0ms	49×	body	2560	valid
101.0ms	83×	body	1280	valid
42.0ms	62×	body	640	valid
17.0ms	30×	body	320	valid
8.0ms	23×	body	160	valid
2.0ms	9×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	19
3	19
2	17
1	13
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
1.6b	(- x (tan x))
1.6b	(- x (sin x))

rewrite44.0ms

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:

17.0ms	(/ (- x (sin x)) (- x (tan x)))
4.0ms	(- x (tan x))
12.0ms	(- x (sin x))

series246.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (- x (sin x)) (- x (tan x)))
89.0ms	(- x (tan x))
56.0ms	(- x (sin x))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
3	3119
2	973
1	373
0	160

prune779.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
1.6b	(- x (tan x))
1.6b	(- x (sin x))

rewrite42.0ms

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:

31.0ms	(/ (- x (sin x)) (- x (tan x)))
4.0ms	(- x (tan x))
6.0ms	(- x (sin x))

series267.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(/ (- x (sin x)) (- x (tan x)))
87.0ms	(- x (tan x))
34.0ms	(- x (sin x))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
3	3119
2	973
1	373
0	160

prune752.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 9/40 (* 27/2800 (* x x)))
0.1b	(* (* x x) (- 9/40 (* 27/2800 (* x x))))
0.2b	(* 27/2800 (* x x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`sub-neg` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 59

Calls

3 calls:

5.0ms	(- 9/40 (* 27/2800 (* x x)))
28.0ms	(* (* x x) (- 9/40 (* 27/2800 (* x x))))
22.0ms	(* 27/2800 (* x x))

series299.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- 9/40 (* 27/2800 (* x x)))
171.0ms	(* (* x x) (- 9/40 (* 27/2800 (* x x))))
47.0ms	(* 27/2800 (* x x))

simplify909.0ms

Counts

68 → 68

Iterations

Iter	Nodes
3	2326
2	747
1	263
0	89

prune492.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

100% (0.0b remaining)

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

bsearch161.0ms

Steps

Iters	Range		Point
9	5.277777168093308e-05	15.597049771107491	0.030132695111622844
10	-1231591086050.0088	-0.0006858147917088189	-0.029332414347062297

simplify7.0ms

Iterations

Iter	Nodes
2	25
1	25
0	20

end0.0ms

sample17.0s

Algorithm

intervals

Results

6.7s	2779×	body	1280	valid
6.5s	1562×	body	2560	valid
2.1s	1923×	body	640	valid
1.2s	936×	body	320	valid
295.0ms	454×	body	160	valid
89.0ms	346×	body	80	valid