Details

sample455.0ms

Algorithm

intervals

Results

302.0ms	114×	body	2560	valid
83.0ms	63×	body	1280	valid
30.0ms	42×	body	640	valid
11.0ms	22×	body	320	valid
11.0ms	256×	pre	80	true
5.0ms	13×	body	160	valid
0.0ms	2×	body	80	valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
3.3b	(- (/ 1 x) (/ 1 (tan x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

13.0ms	(/ 1 (tan x))
16.0ms	(- (/ 1 x) (/ 1 (tan x)))

series513.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (tan x))
475.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify2.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
4	2091
3	1116
2	586
1	239
0	120

prune288.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2/945 (pow x 5)) (* x (+ (* (* x x) 1/45) 1/3)))
0.1b	(* 2/945 (pow x 5))
0.1b	(* (* x x) 1/45)
0.3b	(* x (+ (* (* x x) 1/45) 1/3))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

22.0ms	(+ (* 2/945 (pow x 5)) (* x (+ (* (* x x) 1/45) 1/3)))
17.0ms	(* 2/945 (pow x 5))
33.0ms	(* (* x x) 1/45)
99.0ms	(* x (+ (* (* x x) 1/45) 1/3))

series378.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* 2/945 (pow x 5)) (* x (+ (* (* x x) 1/45) 1/3)))
97.0ms	(* 2/945 (pow x 5))
48.0ms	(* (* x x) 1/45)
163.0ms	(* x (+ (* (* x x) 1/45) 1/3))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5016
2	1444
1	429
0	147

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 1/45)
0.1b	(* (* (* x x) 1/45) (* (* x x) 1/45))
0.4b	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))
0.4b	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))

rewrite988.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
70×	`pow-prod-down`
52×	`add-cbrt-cube` `add-exp-log`
32×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `pow-sqr` `pow-prod-up` `add-cube-cbrt`
8×	`associate-r`
5×	`associate-l`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `pow-plus` `flip3--` `-commutative` `flip--`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

19.0ms	(* (* x x) 1/45)
136.0ms	(* (* (* x x) 1/45) (* (* x x) 1/45))
546.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))
281.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))

series655.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x x) 1/45)
55.0ms	(* (* (* x x) 1/45) (* (* x x) 1/45))
230.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))
335.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))

simplify1.9s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1858
1	510
0	170

prune550.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-r`
12×	`prod-exp`
10×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
9×	`pow-prod-down`
6×	`associate-l` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* 2/945 (pow x 5))
29.0ms	(* (* x x) 1/45)
30.0ms	(* (* x x) 1/45)
24.0ms	(* (* x x) 1/45)

series185.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* 2/945 (pow x 5))
32.0ms	(* (* x x) 1/45)
33.0ms	(* (* x x) 1/45)
28.0ms	(* (* x x) 1/45)

simplify1.7s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	1628
2	499
1	198
0	85

prune439.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample15.2s

Algorithm

intervals

Results

8.7s	3282×	body	2560	valid
4.0s	2465×	body	1280	valid
991.0ms	1254×	body	640	valid
834.0ms	636×	body	320	valid
345.0ms	8000×	pre	80	true
103.0ms	309×	body	160	valid
10.0ms	54×	body	80	valid