Details

sample514.0ms

Algorithm

intervals

Results

311.0ms	97×	body	2560	valid
131.0ms	93×	body	1280	valid
33.0ms	39×	body	640	valid
12.0ms	256×	pre	80	true
8.0ms	17×	body	320	valid
4.0ms	9×	body	160	valid
0.0ms	1×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	8
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
2.1b	(- (/ 1 x) (/ 1 (tan x)))

rewrite42.0ms

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:

12.0ms	(/ 1 (tan x))
29.0ms	(- (/ 1 x) (/ 1 (tan x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1 (tan x))
105.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify7.7s

Counts

69 → 69

Iterations

Iter	Nodes
4	2535
3	1222
2	567
1	235
0	120

prune577.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

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))

rewrite139.0ms

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:

32.0ms	(+ (* (* x x) 1/45) 1/3)
17.0ms	(* 2/945 (pow x 5))
29.0ms	(* (* x x) 1/45)
59.0ms	(* x (+ (* (* x x) 1/45) 1/3))

series364.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (* (* x x) 1/45) 1/3)
99.0ms	(* 2/945 (pow x 5))
48.0ms	(* (* x x) 1/45)
124.0ms	(* x (+ (* (* x x) 1/45) 1/3))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
3	3462
2	958
1	342
0	134

prune873.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 1/45)
0.2b	(* (* (* x x) 1/45) 1/3)
0.3b	(* x (+ 1/27 (* (* (* (* x x) x) (* (* x x) x)) 1/91125)))
0.4b	(/ (* x (+ 1/27 (* (* (* (* x x) x) (* (* x x) x)) 1/91125))) (+ (* (* (* x x) 1/45) (* (* x x) 1/45)) (- (* 1/3 1/3) (* (* (* x x) 1/45) 1/3))))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
20×	`pow1`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
9×	`associate-r`
5×	`associate-l`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `times-frac` `-commutative` `flip-+`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

15.0ms	(* (* x x) 1/45)
81.0ms	(* (* (* x x) 1/45) 1/3)
22.0ms	(* x (+ 1/27 (* (* (* (* x x) x) (* (* x x) x)) 1/91125)))
203.0ms	(/ (* x (+ 1/27 (* (* (* (* x x) x) (* (* x x) x)) 1/91125))) (+ (* (* (* x x) 1/45) (* (* x x) 1/45)) (- (* 1/3 1/3) (* (* (* x x) 1/45) 1/3))))

series850.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x x) 1/45)
48.0ms	(* (* (* x x) 1/45) 1/3)
355.0ms	(* x (+ 1/27 (* (* (* (* x x) x) (* (* x x) x)) 1/91125)))
418.0ms	(/ (* x (+ 1/27 (* (* (* (* x x) x) (* (* x x) x)) 1/91125))) (+ (* (* (* x x) 1/45) (* (* x x) 1/45)) (- (* 1/3 1/3) (* (* (* x x) 1/45) 1/3))))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
2	2032
1	501
0	165

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/45 (* x x)) (* 1/45 (* x x)))
0.1b	(* 1/45 (* x x))
0.1b	(* 1/45 (* x x))
0.1b	(* 1/135 (* x x))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 121

Calls

4 calls:

98.0ms	(* (* 1/45 (* x x)) (* 1/45 (* x x)))
28.0ms	(* 1/45 (* x x))
27.0ms	(* 1/45 (* x x))
27.0ms	(* 1/135 (* x x))

series183.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* 1/45 (* x x)) (* 1/45 (* x x)))
37.0ms	(* 1/45 (* x x))
29.0ms	(* 1/45 (* x x))
39.0ms	(* 1/135 (* x x))

simplify4.5s

Counts

133 → 133

Iterations

Iter	Nodes
3	6860
2	1022
1	265
0	94

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
2	32
1	32
0	23

end0.0ms

sample15.1s

Algorithm

intervals

Results

8.8s	3196×	body	2560	valid
3.7s	2570×	body	1280	valid
1.4s	1275×	body	640	valid
419.0ms	315×	body	160	valid
323.0ms	8000×	pre	80	true
315.0ms	604×	body	320	valid
7.0ms	40×	body	80	valid