Details

sample78.0ms

Algorithm

intervals

Results

29.0ms	57×	body	1280	valid
16.0ms	41×	body	640	valid
15.0ms	135×	body	80	valid
5.0ms	15×	body	320	valid
2.0ms	8×	body	160	valid

simplify209.0ms

Counts

1 → 1

Iterations

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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:

9.0ms	(/ x (+ x 1))
18.0ms	(/ (+ x 1) (- x 1))
74.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ x (+ x 1))
26.0ms	(/ (+ x 1) (- x 1))
97.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify2.0s

Counts

126 → 126

Iterations

Iter	Nodes
3	3151
2	989
1	383
0	180

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1))
0.1b	(* (+ x 1) (/ 1 (- x 1)))
5.0b	(- (/ x (+ x 1)) (* (+ x 1) (/ 1 (- x 1))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
35×	`times-frac`
27×	`associate-r`
24×	`add-cube-cbrt`
14×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`frac-sub` `difference-of-squares`
5×	`pow1` `flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
4×	`frac-times` `associate-/r` `associate-l` `associate-l/` `prod-exp` `associate-/r/`
3×	`difference-of-sqr-1` `div-exp` `insert-posit16` `associate-/l*` `distribute-lft-out--` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `un-div-inv` `cbrt-unprod` `div-inv` `flip--`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative`

Counts

3 → 109

Calls

3 calls:

8.0ms	(/ x (+ x 1))
40.0ms	(* (+ x 1) (/ 1 (- x 1)))
40.0ms	(- (/ x (+ x 1)) (* (+ x 1) (/ 1 (- x 1))))

series166.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1))
31.0ms	(* (+ x 1) (/ 1 (- x 1)))
98.0ms	(- (/ x (+ x 1)) (* (+ x 1) (/ 1 (- x 1))))

simplify7.1s

Counts

118 → 118

Iterations

Iter	Nodes
3	5752
2	1910
1	548
0	213

prune862.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 3) 1)
0.0b	(+ (* x x) (+ (* x 3) 1))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

14.0ms	(+ (* x 3) 1)
32.0ms	(+ (* x x) (+ (* x 3) 1))

series77.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* x 3) 1)
33.0ms	(+ (* x x) (+ (* x 3) 1))

simplify5.1s

Counts

32 → 32

Iterations

Iter	Nodes
4	8304
3	1807
2	543
1	173
0	55

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ -1 (* x x)) (/ 3 x))
0.1b	(/ (/ 3 x) (* x x))
0.1b	(/ -1 (* x x))
7.4b	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

rewrite203.0ms

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:

24.0ms	(- (/ -1 (* x x)) (/ 3 x))
14.0ms	(/ (/ 3 x) (* x x))
12.0ms	(/ -1 (* x x))
150.0ms	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (/ -1 (* x x)) (/ 3 x))
47.0ms	(/ (/ 3 x) (* x x))
32.0ms	(/ -1 (* x x))
36.0ms	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

simplify19.5s

Counts

125 → 125

Iterations

Iter	Nodes
3	11891
2	1873
1	540
0	210

prune937.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.2b

bsearch144.0ms

Steps

Iters	Range		Point
11	1.0334628320549359e-08	2.7368728718549235e+26	11958.15652724066
9	-128555.04713805256	-0.18430940072566707	-11180.856750468918

simplify7.0ms

Iterations

Iter	Nodes
2	27
1	27
0	22

end0.0ms

sample2.2s

Algorithm

intervals

Results

999.0ms	1726×	body	1280	valid
452.0ms	1281×	body	640	valid
412.0ms	4132×	body	80	valid
144.0ms	575×	body	320	valid
47.0ms	286×	body	160	valid

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7