Details

sample591.0ms

Algorithm

intervals

Results

205.0ms	51×	body	2560	valid
141.0ms	88×	body	1280	valid
120.0ms	53×	body	640	valid
24.0ms	34×	body	320	valid
6.0ms	13×	body	160	valid
5.0ms	17×	body	80	valid

simplify95.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize30.0ms

Local error

Found 3 expressions with local error:

1.1b	(- x (tan x))
1.1b	(- x (sin x))
0.0b	(/ (- x (sin x)) (- x (tan x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
6×	`fma-neg`
5×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 113

Calls

3 calls:

Slowest

23.0ms	(/ (- x (sin x)) (- x (tan x)))
6.0ms	(- x (tan x))
6.0ms	(- x (sin x))

series278.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

112.0ms	(/ (- x (sin x)) (- x (tan x)))
98.0ms	(- x (tan x))
68.0ms	(- x (sin x))

simplify1.8s

Counts: 122 → 122

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.1b	(- x (tan x))
1.1b	(- x (tan x))
1.1b	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
0.1b	(/ (sin x) (- x (tan x)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
678×	`times-frac`
459×	`prod-diff`
417×	`add-cube-cbrt`
147×	`distribute-lft-out--`
141×	`difference-of-squares`
92×	`associate-/r/`
49×	`flip3--` `flip--`
46×	`div-inv`
27×	`fma-neg`
10×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub` `sub-div`

Counts

4 → 592

Calls

4 calls:

Slowest

63.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
24.0ms	(/ (sin x) (- x (tan x)))
5.0ms	(- x (tan x))
5.0ms	(- x (tan x))

series530.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

288.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
85.0ms	(- x (tan x))
83.0ms	(- x (tan x))
74.0ms	(/ (sin x) (- x (tan x)))

simplify1.6s

Counts: 604 → 604

prune7.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.1b	(- x (tan x))
1.1b	(- x (tan x))
1.1b	(- x (tan x))
1.1b	(- x (tan x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

Slowest

9.0ms	(- x (tan x))
7.0ms	(- x (tan x))
5.0ms	(- x (tan x))
5.0ms	(- x (tan x))

series263.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(- x (tan x))
65.0ms	(- x (tan x))
64.0ms	(- x (tan x))
63.0ms	(- x (tan x))

simplify1.2s

Counts: 128 → 128

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.1b	(- x (tan x))
1.1b	(- x (tan x))
1.1b	(- x (tan x))
1.1b	(- x (sin x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

Slowest

11.0ms	(- x (sin x))
10.0ms	(- x (tan x))
10.0ms	(- x (tan x))
10.0ms	(- x (tan x))

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(- x (tan x))
80.0ms	(- x (tan x))
67.0ms	(- x (tan x))
49.0ms	(- x (sin x))

simplify2.3s

Counts: 128 → 128

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.4b

bsearch136.0ms

end0.0ms

sample16.2s

Algorithm

intervals

Results

6.9s	1538×	body	2560	valid
5.8s	2794×	body	1280	valid
2.1s	1904×	body	640	valid
835.0ms	887×	body	320	valid
240.0ms	509×	body	160	valid
91.0ms	368×	body	80	valid