Details

sample209.0ms

Algorithm

intervals

Results

111.0ms	118×	body	1280	valid
44.0ms	77×	body	640	valid
22.0ms	245×	body	80	nan
14.0ms	38×	body	320	valid
4.0ms	16×	body	160	valid
1.0ms	7×	body	80	valid

simplify199.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
4.6b	(log (/ (+ x 1) (- 1 x)))

rewrite42.0ms

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:

27.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x 1) (- 1 x))
83.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3820
2	1036
1	387
0	166

prune259.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 2/5 (* x (fma (* 2/3 x) x 2)))
0.0b	(* x (fma (* 2/3 x) x 2))
0.4b	(* 2/3 x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/5 (* x (fma (* 2/3 x) x 2)))
9.0ms	(* x (fma (* 2/3 x) x 2))
7.0ms	(* 2/3 x)

series241.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(fma (pow x 5) 2/5 (* x (fma (* 2/3 x) x 2)))
117.0ms	(* x (fma (* 2/3 x) x 2))
29.0ms	(* 2/3 x)

simplify1.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
3	1923
2	507
1	185
0	87

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (fma (* 2/3 x) x 2))
0.2b	(* (sqrt (* x (fma (* 2/3 x) x 2))) (sqrt (* x (fma (* 2/3 x) x 2))))
0.4b	(* 2/3 x)
0.4b	(* 2/3 x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
28×	`sqrt-pow1`
23×	`pow-prod-down`
22×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r` `associate-l`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1/2` `pow-prod-up`
6×	`pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `*-commutative` `sqrt-prod` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`fma-udef`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod`

Counts

4 → 117

Calls

4 calls:

6.0ms	(* x (fma (* 2/3 x) x 2))
31.0ms	(* (sqrt (* x (fma (* 2/3 x) x 2))) (sqrt (* x (fma (* 2/3 x) x 2))))
5.0ms	(* 2/3 x)
9.0ms	(* 2/3 x)

series285.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* x (fma (* 2/3 x) x 2))
126.0ms	(* (sqrt (* x (fma (* 2/3 x) x 2))) (sqrt (* x (fma (* 2/3 x) x 2))))
20.0ms	(* 2/3 x)
20.0ms	(* 2/3 x)

simplify2.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5004
3	2842
2	718
1	271
0	118

prune562.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log1p x) (log (- 1 x)))
4.7b	(log (- 1 x))

rewrite18.0ms

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` `insert-posit16` `log1p-expm1-u` `associate--r-`
1×	`log1p-udef` `rem-log-exp`

Counts

2 → 64

Calls

2 calls:

9.0ms	(- (log1p x) (log (- 1 x)))
8.0ms	(log (- 1 x))

series167.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(- (log1p x) (log (- 1 x)))
24.0ms	(log (- 1 x))

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	1989
2	732
1	329
0	141

prune222.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.8s	3377×	body	1280	valid
1.7s	2493×	body	640	valid
1.3s	8098×	body	80	nan
520.0ms	1271×	body	320	valid
201.0ms	637×	body	160	valid
25.0ms	222×	body	80	valid