Details

sample182.0ms

Algorithm

intervals

Results

80.0ms	96×	body	1280	valid
44.0ms	88×	body	640	valid
22.0ms	274×	body	80	nan
15.0ms	49×	body	320	valid
4.0ms	17×	body	160	valid
1.0ms	6×	body	80	valid

simplify211.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	175
9	175
8	171
7	169
6	137
5	115
4	87
3	59
2	27
1	19
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.3b	(log (/ (+ x 1) (- 1 x)))

rewrite25.0ms

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` `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 → 95

Calls

2 calls:

18.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ x 1) (- 1 x))
99.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
3	2239
2	860
1	370
0	164

prune657.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (* 2/3 (* x x)) 2))
0.2b	(* 2/3 (* x x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 45

Calls

2 calls:

71.0ms	(* x (+ (* 2/3 (* x x)) 2))
22.0ms	(* 2/3 (* x x))

series177.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* x (+ (* 2/3 (* x x)) 2))
44.0ms	(* 2/3 (* x x))

simplify2.0s

Counts

51 → 51

Iterations

Iter	Nodes
3	3802
2	789
1	233
0	79

prune530.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log1p x) (log (- 1 x)))
5.3b	(log (- 1 x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
12×	`log-prod` `prod-diff` `add-cube-cbrt`
7×	`pow1`
6×	`associate--r+`
5×	`log-pow` `difference-of-squares`
4×	`log-div` `distribute-lft-out--`
3×	`flip3--` `fma-neg` `add-exp-log` `flip--` `add-log-exp`
2×	`expm1-log1p-u` `sub-neg` `log1p-def` `add-cbrt-cube` `diff-log` `log1p-expm1-u` `associate--r-`
1×	`log1p-udef` `rem-log-exp`

Counts

2 → 62

Calls

2 calls:

19.0ms	(- (log1p x) (log (- 1 x)))
8.0ms	(log (- 1 x))

series185.0ms

Counts

2 → 6

Calls

2 calls:

161.0ms	(- (log1p x) (log (- 1 x)))
24.0ms	(log (- 1 x))

simplify4.8s

Counts

68 → 68

Iterations

Iter	Nodes
4	4974
3	1793
2	666
1	318
0	139

prune521.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
2	17
1	17
0	13

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.7s	3392×	body	1280	valid
1.9s	2486×	body	640	valid
1.0s	8249×	body	80	nan
631.0ms	1276×	body	320	valid
175.0ms	629×	body	160	valid
24.0ms	217×	body	80	valid