Details

sample222.0ms

Algorithm

intervals

Results

118.0ms	117×	body	1280	valid
43.0ms	69×	body	640	valid
22.0ms	216×	body	80	nan
18.0ms	47×	body	320	valid
5.0ms	22×	body	160	valid
0.0ms	1×	body	80	valid

simplify176.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	197
8	197
7	194
6	152
5	136
4	101
3	61
2	29
1	21
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.3b	(log (/ (+ x 1) (- 1 x)))

rewrite37.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

21.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ x 1) (- 1 x))
99.0ms	(log (/ (+ x 1) (- 1 x)))

simplify948.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2005
3	2005
2	1036
1	387
0	166

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 46

Calls

2 calls:

49.0ms	(* (* 2/3 (* x x)) x)
20.0ms	(* 2/3 (* x x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (* 2/3 (* x x)) x)
35.0ms	(* 2/3 (* x x))

simplify909.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	2036
3	2036
2	568
1	173
0	64

prune189.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ x 1) (- 1 x)))
0.0b	(log (exp (/ (+ x 1) (- 1 x))))
0.0b	(/ (+ x 1) (- 1 x))
6.3b	(log (log (exp (/ (+ x 1) (- 1 x)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
102×	`add-sqr-sqrt`
96×	`times-frac`
90×	`exp-prod`
63×	`log-pow`
51×	`add-cube-cbrt`
37×	`log-prod`
34×	`difference-of-squares`
25×	`distribute-lft-out`
17×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `rem-exp-log`

Counts

4 → 185

Calls

4 calls:

23.0ms	(exp (/ (+ x 1) (- 1 x)))
25.0ms	(log (exp (/ (+ x 1) (- 1 x))))
20.0ms	(/ (+ x 1) (- 1 x))
21.0ms	(log (log (exp (/ (+ x 1) (- 1 x)))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(exp (/ (+ x 1) (- 1 x)))
28.0ms	(log (exp (/ (+ x 1) (- 1 x))))
24.0ms	(/ (+ x 1) (- 1 x))
69.0ms	(log (log (exp (/ (+ x 1) (- 1 x)))))

simplify830.0ms

Counts

197 → 197

Iterations

Iter	Nodes
done	2033
3	2033
2	1314
1	493
0	253

prune600.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.4s	3415×	body	1280	valid
1.5s	2490×	body	640	valid
741.0ms	7803×	body	80	nan
447.0ms	1196×	body	320	valid
273.0ms	673×	body	160	valid
23.0ms	226×	body	80	valid