Details

sample502.0ms

Algorithm

intervals

Results

273.0ms	100×	body	2560	valid
144.0ms	84×	body	1280	valid
43.0ms	43×	body	640	valid
12.0ms	20×	body	320	valid
11.0ms	256×	pre	80	true
4.0ms	8×	body	160	valid
0.0ms	1×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

24.0ms	(/ 1 (tan x))
17.0ms	(- (/ 1 x) (/ 1 (tan x)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1 (tan x))
79.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify2.2s

Counts

69 → 69

Iterations

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

prune239.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

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)
0.3b	(* x (+ (* (* x x) 1/45) 1/3))

rewrite137.0ms

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))
23.0ms	(* (* x x) 1/45)
68.0ms	(* x (+ (* (* x x) 1/45) 1/3))

series329.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (* (* x x) 1/45) 1/3)
66.0ms	(* 2/945 (pow x 5))
34.0ms	(* (* x x) 1/45)
163.0ms	(* x (+ (* (* x x) 1/45) 1/3))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1205
1	383
0	134

prune339.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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

rewrite652.0ms

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:

16.0ms	(* (* x x) 1/45)
16.0ms	(* (* x x) 1/45)
189.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))
429.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x x) 1/45)
38.0ms	(* (* x x) 1/45)
296.0ms	(/ (* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3))) (- (* (* x x) 1/45) 1/3))
215.0ms	(* x (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 1/3)))

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1592
1	423
0	138

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`pow1`
18×	`add-sqr-sqrt`
12×	`associate-l` `prod-exp`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt` `cbrt-unprod`
9×	`pow-prod-down`
6×	`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:

17.0ms	(* 2/945 (pow x 5))
21.0ms	(* 1/45 (* x x))
14.0ms	(* 1/45 (* x x))
20.0ms	(* 1/45 (* x x))

series169.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 2/945 (pow x 5))
31.0ms	(* 1/45 (* x x))
31.0ms	(* 1/45 (* x x))
38.0ms	(* 1/45 (* x x))

simplify1.9s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	1767
2	485
1	189
0	83

prune353.0ms

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

sample14.7s

Algorithm

intervals

Results

8.7s	3288×	body	2560	valid
4.0s	2437×	body	1280	valid
1.1s	1241×	body	640	valid
367.0ms	657×	body	320	valid
274.0ms	8000×	pre	80	true
107.0ms	327×	body	160	valid
8.0ms	50×	body	80	valid