Details

sample290.0ms

Algorithm

intervals

Results

176.0ms	104×	body	1280	valid
69.0ms	83×	body	640	valid
18.0ms	48×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	14×	body	160	valid
1.0ms	7×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	13
0	7

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1 x)) (log1p x))
5.4b	(log (- 1 x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

26.0ms	(/ (log (- 1 x)) (log1p x))
10.0ms	(log (- 1 x))

series148.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (log (- 1 x)) (log1p x))
51.0ms	(log (- 1 x))

simplify2.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4161
2	1105
1	383
0	163

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (log1p (- x)) (log1p x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

4.0ms

(/ (log1p (- x)) (log1p x))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(/ (log1p (- x)) (log1p x))

simplify2.0s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
3	3492
2	883
1	265
0	112

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log1p x) (log1p (- x)))
0.0b	(/ 1 (/ (log1p x) (log1p (- x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 109

Calls

2 calls:

7.0ms	(/ (log1p x) (log1p (- x)))
12.0ms	(/ 1 (/ (log1p x) (log1p (- x))))

series183.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (log1p x) (log1p (- x)))
107.0ms	(/ 1 (/ (log1p x) (log1p (- x))))

simplify1.7s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1982
1	663
0	258

prune338.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)))
0.1b	(/ (sqrt (log1p (- x))) (log1p x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
40×	`times-frac`
32×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
22×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`pow1`
3×	`associate-/r*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 93

Calls

2 calls:

19.0ms	(* (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)))
5.0ms	(/ (sqrt (log1p (- x))) (log1p x))

series209.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)))
134.0ms	(/ (sqrt (log1p (- x))) (log1p x))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5004
2	2308
1	633
0	238

prune395.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.3s	3432×	body	1280	valid
2.5s	2442×	body	640	valid
660.0ms	1228×	body	320	valid
410.0ms	8000×	pre	80	true
199.0ms	662×	body	160	valid
31.0ms	236×	body	80	valid