Details

sample491.0ms

Algorithm

intervals

Results

268.0ms	110×	body	2560	valid
141.0ms	83×	body	1280	valid
29.0ms	256×	pre	80	true
24.0ms	32×	body	640	valid
11.0ms	20×	body	320	valid
4.0ms	9×	body	160	valid
0.0ms	2×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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))
30.0ms	(- (/ 1 x) (/ 1 (tan x)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (tan x))
87.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify1.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	2001
4	2001
3	1116
2	586
1	239
0	120

prune466.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 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))

rewrite112.0ms

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×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `sum-log` `distribute-lft-in` `pow-exp`

Counts

4 → 81

Calls

4 calls:

30.0ms	(+ (* (* x x) 1/45) 1/3)
15.0ms	(* 2/945 (pow x 5))
14.0ms	(* (* x x) 1/45)
51.0ms	(* x (+ (* (* x x) 1/45) 1/3))

series361.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (* (* x x) 1/45) 1/3)
77.0ms	(* 2/945 (pow x 5))
49.0ms	(* (* x x) 1/45)
140.0ms	(* x (+ (* (* x x) 1/45) 1/3))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	2028
3	2028
2	1205
1	383
0	134

prune778.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 1/45)
0.1b	(* (* 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))

rewrite649.0ms

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/` `insert-posit16` `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 → 92

Calls

4 calls:

14.0ms	(* (* x x) 1/45)
20.0ms	(* (* x x) 1/45)
437.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))
177.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))

series525.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x x) 1/45)
44.0ms	(* (* x x) 1/45)
192.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))
255.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	2006
3	2006
2	1534
1	418
0	138

prune858.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

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)

rewrite66.0ms

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:

10.0ms	(* 2/945 (pow x 5))
19.0ms	(* (* x x) 1/45)
21.0ms	(* (* x x) 1/45)
14.0ms	(* (* x x) 1/45)

series165.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 2/945 (pow x 5))
31.0ms	(* (* x x) 1/45)
32.0ms	(* (* x x) 1/45)
39.0ms	(* (* x x) 1/45)

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	2001
4	2001
3	1628
2	499
1	198
0	85

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes18.0ms

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	21
1	21
0	16

end0.0ms

sample14.0s

Algorithm

intervals

Results

8.5s	3318×	body	2560	valid
3.5s	2418×	body	1280	valid
1.0s	1259×	body	640	valid
310.0ms	643×	body	320	valid
297.0ms	8000×	pre	80	true
175.0ms	311×	body	160	valid
9.0ms	51×	body	80	valid