Details

sample326.0ms

Algorithm

intervals

Results

216.0ms	104×	body	2560	valid
70.0ms	87×	body	1280	valid
12.0ms	31×	body	640	valid
6.0ms	24×	body	320	valid
5.0ms	256×	pre	80	true
1.0ms	10×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.0b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite29.0ms

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:

4.0ms	(/ 1.0 (tan x))
23.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series237.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ 1.0 (tan x))
167.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.9s

Counts

56 → 56

Iterations

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

prune204.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223)))
0.0b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* (* x x) 0.022222222222222223)

rewrite50.0ms

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:

12.0ms	(* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223)))
9.0ms	(* 0.0021164021164021165 (pow x 5))
28.0ms	(* (* x x) 0.022222222222222223)

series194.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223)))
53.0ms	(* 0.0021164021164021165 (pow x 5))
27.0ms	(* (* x x) 0.022222222222222223)

simplify1.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
2	2275
1	358
0	122

prune325.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 0.022222222222222223)
0.1b	(* (* x x) 0.022222222222222223)
0.3b	(/ (* 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))))

rewrite116.0ms

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:

28.0ms	(* (* x x) 0.022222222222222223)
27.0ms	(* (* x x) 0.022222222222222223)
19.0ms	(/ (* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223)))
37.0ms	(* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x x) 0.022222222222222223)
34.0ms	(* (* x x) 0.022222222222222223)
307.0ms	(/ (* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223)))
227.0ms	(* x (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2982
1	427
0	141

prune483.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 0.022222222222222223)
0.1b	(* (* x x) 0.022222222222222223)
0.1b	(* (* 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))))

rewrite107.0ms

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:

14.0ms	(* (* x x) 0.022222222222222223)
14.0ms	(* (* x x) 0.022222222222222223)
14.0ms	(* (* x x) 0.022222222222222223)
41.0ms	(/ x (/ (/ (- 0.3333333333333333 (* (* x x) 0.022222222222222223)) (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (- 0.3333333333333333 (* (* x x) 0.022222222222222223))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x x) 0.022222222222222223)
35.0ms	(* (* x x) 0.022222222222222223)
36.0ms	(* (* x x) 0.022222222222222223)
117.0ms	(/ 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

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample11.6s

Algorithm

intervals

Results

7.1s	3278×	body	2560	valid
3.0s	2460×	body	1280	valid
798.0ms	1261×	body	640	valid
187.0ms	652×	body	320	valid
135.0ms	8000×	pre	80	true
62.0ms	313×	body	160	valid
4.0ms	36×	body	80	valid