Details

sample362.0ms

Algorithm

intervals

Results

252.0ms	113×	body	2560	valid
68.0ms	79×	body	1280	valid
14.0ms	28×	body	640	valid
6.0ms	21×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid
0.0ms	3×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.8b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `tan-quot` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

9.0ms	(/ 1.0 (tan x))
26.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series198.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ 1.0 (tan x))
146.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3982
2	685
1	242
0	115

prune241.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223)))
0.0b	(* 0.0021164021164021165 (pow x 5))
0.2b	(* (* x x) 0.022222222222222223)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
13×	`associate-r`
12×	`add-cbrt-cube`
10×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 66

Calls

3 calls:

16.0ms	(* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223)))
9.0ms	(* 0.0021164021164021165 (pow x 5))
20.0ms	(* (* x x) 0.022222222222222223)

series236.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223)))
64.0ms	(* 0.0021164021164021165 (pow x 5))
30.0ms	(* (* x x) 0.022222222222222223)

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
2	2275
1	358
0	122

prune417.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 0.022222222222222223)
0.2b	(* (* x x) 0.022222222222222223)
0.2b	(/ (* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223)))
0.4b	(* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

14.0ms	(* (* x x) 0.022222222222222223)
15.0ms	(* (* x x) 0.022222222222222223)
27.0ms	(/ (* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223)))
31.0ms	(* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x x) 0.022222222222222223)
42.0ms	(* (* x x) 0.022222222222222223)
259.0ms	(/ (* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223)))
189.0ms	(* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))

simplify2.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2982
1	427
0	141

prune459.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 0.022222222222222223)
0.2b	(* (* x x) 0.022222222222222223)
0.2b	(* (* x x) 0.022222222222222223)
0.3b	(/ x (/ (/ (- 0.3333333333333333 (* (* x x) 0.022222222222222223)) (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

441×	`times-frac`
210×	`add-sqr-sqrt`
207×	`*-un-lft-identity` `add-cube-cbrt`
51×	`associate-/r*`
33×	`associate-/r/`
28×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
17×	`div-inv`
12×	`flip3-+` `flip-+`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-l` `-commutative` `associate-/l` `unswap-sqr`
1×	`clear-num` `frac-2neg`

Counts

4 → 281

Calls

4 calls:

16.0ms	(* (* x x) 0.022222222222222223)
14.0ms	(* (* x x) 0.022222222222222223)
15.0ms	(* (* x x) 0.022222222222222223)
42.0ms	(/ x (/ (/ (- 0.3333333333333333 (* (* x x) 0.022222222222222223)) (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x x) 0.022222222222222223)
32.0ms	(* (* x x) 0.022222222222222223)
37.0ms	(* (* x x) 0.022222222222222223)
119.0ms	(/ x (/ (/ (- 0.3333333333333333 (* (* x x) 0.022222222222222223)) (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223))))

simplify1.7s

Counts

293 → 293

Iterations

Iter	Nodes
done	5000
1	1683
0	550

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample12.1s

Algorithm

intervals

Results

8.0s	3252×	body	2560	valid
2.3s	2448×	body	1280	valid
1.2s	1291×	body	640	valid
205.0ms	8000×	pre	80	true
197.0ms	641×	body	320	valid
69.0ms	323×	body	160	valid
4.0ms	45×	body	80	valid