Details

sample239.0ms

Algorithm

intervals

Results

136.0ms	121×	body	1280	valid
45.0ms	77×	body	640	valid
22.0ms	228×	body	80	nan
15.0ms	39×	body	320	valid
3.0ms	12×	body	160	valid
1.0ms	7×	body	80	valid

simplify171.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
3.8b	(log (/ (+ x 1) (- 1 x)))

rewrite38.0ms

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:

26.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ x 1) (- 1 x))
79.0ms	(log (/ (+ x 1) (- 1 x)))

simplify690.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2003
2	1036
1	387
0	166

prune258.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma 2/5 (pow x 5) (* (* 2/3 (* x x)) x))
67.0ms	(* (* 2/3 (* x x)) x)
17.0ms	(* 2/3 (* x x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(fma 2/5 (pow x 5) (* (* 2/3 (* x x)) x))
48.0ms	(* (* 2/3 (* x x)) x)
42.0ms	(* 2/3 (* x x))

simplify484.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2002
2	607
1	198
0	80

prune289.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 x))
0.0b	(+ (log1p x) (log (/ 1 (- 1 x))))
3.8b	(log (/ 1 (- 1 x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
54×	`times-frac`
48×	`log-prod`
35×	`add-cube-cbrt`
24×	`associate-+r+`
20×	`difference-of-squares`
12×	`add-exp-log`
10×	`distribute-lft-out--`
7×	`pow1`
6×	`associate-/r*` `associate-/r/`
5×	`add-cbrt-cube`
4×	`div-exp` `rem-log-exp` `log-pow` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `flip3--` `log-rec` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*`
2×	`log-div` `rec-exp` `sum-log` `1-exp` `pow-flip` `distribute-lft-out` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `unsub-neg` `flip-+`

Counts

3 → 138

Calls

3 calls:

9.0ms	(/ 1 (- 1 x))
19.0ms	(+ (log1p x) (log (/ 1 (- 1 x))))
9.0ms	(log (/ 1 (- 1 x)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (- 1 x))
123.0ms	(+ (log1p x) (log (/ 1 (- 1 x))))
31.0ms	(log (/ 1 (- 1 x)))

simplify581.0ms

Counts

147 → 147

Iterations

Iter	Nodes
done	2000
2	1037
1	474
0	208

prune426.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p x))
0.7b	(cbrt (log1p x))
0.7b	(cbrt (log1p x))
3.8b	(log (/ 1 (- 1 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`log-prod`
18×	`times-frac`
17×	`add-cube-cbrt`
9×	`cbrt-prod` `add-exp-log`
6×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `log-pow` `distribute-lft-out--`
2×	`div-exp` `associate-/r/`
1×	`log-div` `rec-exp` `flip3--` `1-exp` `log-rec` `div-inv` `pow-flip` `flip--` `inv-pow`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (log1p x))
1.0ms	(cbrt (log1p x))
1.0ms	(cbrt (log1p x))
8.0ms	(log (/ 1 (- 1 x)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (log1p x))
62.0ms	(cbrt (log1p x))
74.0ms	(cbrt (log1p x))
49.0ms	(log (/ 1 (- 1 x)))

simplify843.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	1091
1	443
0	190

prune410.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.6s	3454×	body	1280	valid
1.7s	2482×	body	640	valid
1.0s	1248×	body	320	valid
1.0s	7785×	body	80	nan
183.0ms	634×	body	160	valid
23.0ms	182×	body	80	valid