Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	53×	body	1280	valid
11.0ms	42×	body	640	valid
7.0ms	130×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify176.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	168
15	168
14	165
13	136
12	114
11	99
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))
2.7b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
60×	`times-frac`
57×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`distribute-lft-out`
18×	`distribute-lft-out--`
14×	`difference-of-squares`
11×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`difference-of-sqr-1` `add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 117

Calls

3 calls:

22.0ms	(/ (+ x 1) (- x 1))
13.0ms	(/ x (+ x 1))
43.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (+ x 1) (- x 1))
36.0ms	(/ x (+ x 1))
80.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify2.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5004
3	3614
2	1062
1	399
0	180

prune329.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) (- x 1))
0.0b	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
0.0b	(* (+ x 1) (+ x 1))
19.8b	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*r/`
36×	`flip3-+` `flip-+`
32×	`frac-sub`
31×	`*-un-lft-identity`
28×	`frac-times`
24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
18×	`associate-/l/`
14×	`associate-*l/`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
11×	`associate-r`
8×	`associate-l` `associate-/r/`
7×	`distribute-lft-out`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `add-log-exp`
5×	`sub-neg`
4×	`associate--l+` `insert-posit16`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate--r+` `difference-of-squares` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `diff-log` `difference-of-sqr-1` `div-sub` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out--`

Counts

4 → 161

Calls

4 calls:

33.0ms	(* (+ x 1) (- x 1))
38.0ms	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
27.0ms	(* (+ x 1) (+ x 1))
17.0ms	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (+ x 1) (- x 1))
64.0ms	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
17.0ms	(* (+ x 1) (+ x 1))
55.0ms	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

simplify3.1s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	4582
1	899
0	248

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ -1 (* x -3))
0.0b	(* (+ x 1) (- x 1))
16.2b	(/ (+ -1 (* x -3)) (* (+ x 1) (- x 1)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3-+` `associate-/r/` `flip-+`
7×	`associate-r` `add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-l/` `associate-r/`
3×	`times-frac` `insert-posit16` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `difference-of-sqr-1` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ -1 (* x -3))
22.0ms	(* (+ x 1) (- x 1))
34.0ms	(/ (+ -1 (* x -3)) (* (+ x 1) (- x 1)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ -1 (* x -3))
99.0ms	(* (+ x 1) (- x 1))
57.0ms	(/ (+ -1 (* x -3)) (* (+ x 1) (- x 1)))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
2	1770
1	429
0	145

prune284.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ -1 (* x x)) (/ 3 x))
0.1b	(/ (/ 3 x) (* x x))
0.3b	(/ -1 (* x x))
4.6b	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

41×	`times-frac`
37×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cbrt-cube` `add-exp-log`
20×	`add-cube-cbrt`
16×	`associate-/l*`
11×	`add-log-exp`
8×	`cbrt-undiv` `div-exp`
7×	`difference-of-squares`
5×	`frac-sub`
4×	`pow1` `diff-log` `insert-posit16` `div-inv` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`clear-num` `associate-/r*` `frac-2neg` `associate--l+`
1×	`associate--l-` `associate-/l/`

Counts

4 → 113

Calls

4 calls:

20.0ms	(- (/ -1 (* x x)) (/ 3 x))
9.0ms	(/ (/ 3 x) (* x x))
7.0ms	(/ -1 (* x x))
166.0ms	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (/ -1 (* x x)) (/ 3 x))
42.0ms	(/ (/ 3 x) (* x x))
41.0ms	(/ -1 (* x x))
32.0ms	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

simplify1.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	2112
1	542
0	210

prune376.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.4b

bsearch80.0ms

Steps

Iters	Range		Point
7	3450257.8595304484	695318447.7085649	3512926.0072915074
7	-1.0655363365485027e+18	-6.599107358080548e+16	-3.823156336026761e+17

simplify4.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample1.9s

Algorithm

intervals

Results

662.0ms	1648×	body	1280	valid
471.0ms	1207×	body	640	valid
382.0ms	4189×	body	80	valid
165.0ms	624×	body	320	valid
77.0ms	332×	body	160	valid