Details

sample218.0ms

Algorithm

intervals

Results

101.0ms	114×	body	1280	valid
43.0ms	229×	body	80	nan
42.0ms	78×	body	640	valid
14.0ms	38×	body	320	valid
4.0ms	19×	body	160	valid
1.0ms	7×	body	80	valid

simplify149.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	201
8	201
7	198
6	165
5	150
4	100
3	59
2	27
1	21
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.4b	(log (/ (+ x 1) (- 1 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

26.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (+ x 1) (- 1 x))
85.0ms	(log (/ (+ x 1) (- 1 x)))

simplify887.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2002
3	2002
2	921
1	366
0	162

prune352.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

54.0ms	(* x (+ (* 2/3 (* x x)) 2))
18.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* 2/3 (* x x)) 2)))
21.0ms	(* 2/5 (pow x 5))
27.0ms	(* 2/3 (* x x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* x (+ (* 2/3 (* x x)) 2))
65.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* 2/3 (* x x)) 2)))
68.0ms	(* 2/5 (pow x 5))
29.0ms	(* 2/3 (* x x))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	2000
3	2000
2	1627
1	431
0	144

prune364.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 80

Calls

4 calls:

19.0ms	(+ (* 2/5 (pow x 5)) (* x (* 2/3 (* x x))))
12.0ms	(* 2/5 (pow x 5))
48.0ms	(* x (* 2/3 (* x x)))
18.0ms	(* 2/3 (* x x))

series376.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (* 2/5 (pow x 5)) (* x (* 2/3 (* x x))))
73.0ms	(* 2/5 (pow x 5))
57.0ms	(* x (* 2/3 (* x x)))
39.0ms	(* 2/3 (* x x))

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
3	2000
2	1028
1	321
0	123

prune481.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
0.0b	(/ (+ x 1) (- 1 x))
5.4b	(log (sqrt (/ (+ x 1) (- 1 x))))
5.4b	(log (sqrt (/ (+ x 1) (- 1 x))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
96×	`times-frac`
66×	`log-prod`
60×	`sqrt-prod`
52×	`add-cube-cbrt`
36×	`difference-of-squares`
26×	`distribute-lft-out`
18×	`distribute-lft-out--`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/` `associate-/l*`
6×	`log-pow`
4×	`flip3--` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `flip-+`

Counts

4 → 194

Calls

4 calls:

32.0ms	(/ (+ x 1) (- 1 x))
37.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))
11.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (+ x 1) (- 1 x))
34.0ms	(/ (+ x 1) (- 1 x))
154.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))
151.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))

simplify1.3s

Counts

206 → 206

Iterations

Iter	Nodes
done	2001
3	2001
2	824
1	360
0	207

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.8s	3423×	body	1280	valid
2.1s	2411×	body	640	valid
1.1s	8141×	body	80	nan
603.0ms	1285×	body	320	valid
188.0ms	676×	body	160	valid
28.0ms	205×	body	80	valid