Details

sample569.0ms

Algorithm

intervals

Results

358.0ms	100×	body	2560	valid
125.0ms	84×	body	1280	valid
41.0ms	43×	body	640	valid
13.0ms	256×	pre	80	true
13.0ms	20×	body	320	valid
4.0ms	8×	body	160	valid
0.0ms	1×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
2.4b	(- (/ 1 x) (/ 1 (tan x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
72×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
57×	`associate-/r` `associate-/l`
48×	`add-cube-cbrt`
27×	`times-frac`
19×	`clear-num` `frac-2neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
5×	`div-inv`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1`
2×	`div-exp` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `pow-flip` `flip--` `inv-pow`

Counts

2 → 143

Calls

2 calls:

12.0ms	(/ 1 (tan x))
40.0ms	(- (/ 1 x) (/ 1 (tan x)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1 (tan x))
89.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify2.3s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	2142
1	998
0	334

prune264.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
50×	`associate-r`
45×	`associate-l`
36×	`pow1`
30×	`unswap-sqr`
25×	`add-exp-log`
23×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow-prod-down` `*-commutative` `cbrt-unprod`
9×	`swap-sqr`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
2×	`pow2` `pow3` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 149

Calls

4 calls:

128.0ms	(* 1/45 (* (* x x) x))
29.0ms	(* 2/945 (pow x 5))
31.0ms	(* (* x x) x)
12.0ms	(* x 1/3)

series191.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 1/45 (* (* x x) x))
57.0ms	(* 2/945 (pow x 5))
53.0ms	(* (* x x) x)
27.0ms	(* x 1/3)

simplify1.6s

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
2	1297
1	448
0	168

prune623.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/945 (pow x 5))
0.1b	(* (* x x) x)
0.4b	(* x (sqrt 1/3))
0.4b	(* (* x (sqrt 1/3)) (sqrt 1/3))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
43×	`associate-l`
32×	`pow1`
31×	`associate-r`
24×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`sqrt-prod`
10×	`prod-exp`
8×	`pow-prod-down` `*-commutative` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `swap-sqr` `insert-posit16` `add-log-exp`
2×	`pow2` `pow3` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 141

Calls

4 calls:

14.0ms	(* 2/945 (pow x 5))
39.0ms	(* (* x x) x)
10.0ms	(* x (sqrt 1/3))
45.0ms	(* (* x (sqrt 1/3)) (sqrt 1/3))

series293.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* 2/945 (pow x 5))
36.0ms	(* (* x x) x)
66.0ms	(* x (sqrt 1/3))
116.0ms	(* (* x (sqrt 1/3)) (sqrt 1/3))

simplify3.2s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
3	4666
2	1180
1	397
0	154

prune506.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/945 (pow x 5))
0.1b	(* (* x x) x)
0.3b	(* (* x (sqrt (sqrt 1/3))) (sqrt (sqrt 1/3)))
0.4b	(* (* (* x (sqrt (sqrt 1/3))) (sqrt (sqrt 1/3))) (sqrt 1/3))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

221×	`add-sqr-sqrt`
142×	`sqrt-prod`
126×	`unswap-sqr`
113×	`associate-l`
55×	`associate-r`
39×	`pow1`
32×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-exp-log`
25×	`add-cbrt-cube`
15×	`prod-exp`
13×	`pow-prod-down` `cbrt-unprod`
10×	`*-commutative`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `swap-sqr` `insert-posit16` `add-log-exp`
2×	`pow2` `pow3` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 227

Calls

4 calls:

14.0ms	(* 2/945 (pow x 5))
35.0ms	(* (* x x) x)
66.0ms	(* (* x (sqrt (sqrt 1/3))) (sqrt (sqrt 1/3)))
349.0ms	(* (* (* x (sqrt (sqrt 1/3))) (sqrt (sqrt 1/3))) (sqrt 1/3))

series278.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 2/945 (pow x 5))
47.0ms	(* (* x x) x)
55.0ms	(* (* x (sqrt (sqrt 1/3))) (sqrt (sqrt 1/3)))
101.0ms	(* (* (* x (sqrt (sqrt 1/3))) (sqrt (sqrt 1/3))) (sqrt 1/3))

simplify1.9s

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
2	1667
1	545
0	204

prune660.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample16.6s

Algorithm

intervals

Results

10.0s	3288×	body	2560	valid
3.6s	2437×	body	1280	valid
1.0s	1241×	body	640	valid
833.0ms	8000×	pre	80	true
360.0ms	657×	body	320	valid
115.0ms	327×	body	160	valid
54.0ms	50×	body	80	valid