Details

sample549.0ms

Algorithm

intervals

Results

342.0ms	104×	body	2560	valid
112.0ms	74×	body	1280	valid
45.0ms	49×	body	640	valid
14.0ms	256×	pre	80	true
11.0ms	17×	body	320	valid
9.0ms	9×	body	160	valid
1.0ms	3×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	8
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
2.5b	(- (/ 1 x) (/ 1 (tan x)))

rewrite47.0ms

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:

30.0ms	(/ 1 (tan x))
15.0ms	(- (/ 1 x) (/ 1 (tan x)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1 (tan x))
73.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify7.8s

Counts

69 → 69

Iterations

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

prune531.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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))
0.2b	(* (* x x) 1/45)
0.4b	(* x (+ (* (* x x) 1/45) 1/3))

rewrite171.0ms

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:

28.0ms	(+ (* (* x x) 1/45) 1/3)
16.0ms	(* 2/945 (pow x 5))
29.0ms	(* (* x x) 1/45)
96.0ms	(* x (+ (* (* x x) 1/45) 1/3))

series324.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (* (* x x) 1/45) 1/3)
68.0ms	(* 2/945 (pow x 5))
29.0ms	(* (* x x) 1/45)
156.0ms	(* x (+ (* (* x x) 1/45) 1/3))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
3	3462
2	958
1	342
0	134

prune868.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 1/45)
0.2b	(* (* x x) 1/45)
0.3b	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))
0.3b	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))

rewrite668.0ms

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:

21.0ms	(* (* x x) 1/45)
29.0ms	(* (* x x) 1/45)
230.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))
387.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x x) 1/45)
50.0ms	(* (* x x) 1/45)
291.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))
181.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))

simplify7.9s

Counts

104 → 104

Iterations

Iter	Nodes
3	9281
2	1436
1	378
0	138

prune994.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (/ 1 (+ (* (* x x) 1/45) 1/3)))
0.0b	(/ 1 (+ (* (* x x) 1/45) 1/3))
0.1b	(* 2/945 (pow x 5))
0.2b	(* (* x x) 1/45)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
66×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
27×	`add-exp-log`
18×	`associate-/r*` `add-cbrt-cube`
11×	`associate-/r/`
10×	`pow1` `associate-r`
8×	`div-exp`
6×	`prod-exp` `div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `unpow-prod-down` `associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `pow-flip` `inv-pow`

Counts

4 → 161

Calls

4 calls:

62.0ms	(/ x (/ 1 (+ (* (* x x) 1/45) 1/3)))
52.0ms	(/ 1 (+ (* (* x x) 1/45) 1/3))
17.0ms	(* 2/945 (pow x 5))
33.0ms	(* (* x x) 1/45)

series307.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ x (/ 1 (+ (* (* x x) 1/45) 1/3)))
44.0ms	(/ 1 (+ (* (* x x) 1/45) 1/3))
89.0ms	(* 2/945 (pow x 5))
38.0ms	(* (* x x) 1/45)

simplify42.3s

Counts

173 → 173

Iterations

Iter	Nodes
3	7675
2	1844
1	705
0	278

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes39.0ms

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	18
1	18
0	14

end0.0ms

sample16.5s

Algorithm

intervals

Results

9.2s	3147×	body	2560	valid
4.6s	2620×	body	1280	valid
1.6s	1253×	body	640	valid
389.0ms	637×	body	320	valid
370.0ms	8000×	pre	80	true
151.0ms	305×	body	160	valid
8.0ms	38×	body	80	valid