Details

sample207.0ms

Algorithm

intervals

Results

124.0ms	99×	body	1280	valid
47.0ms	82×	body	640	valid
13.0ms	44×	body	320	valid
7.0ms	256×	pre	80	true
4.0ms	21×	body	160	valid
1.0ms	10×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	13
0	7

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1 x)) (log1p x))
7.0b	(log (- 1 x))

rewrite39.0ms

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:

25.0ms	(/ (log (- 1 x)) (log1p x))
12.0ms	(log (- 1 x))

series130.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(/ (log (- 1 x)) (log1p x))
25.0ms	(log (- 1 x))

simplify2.9s

Counts

64 → 64

Iterations

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

prune260.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series121.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

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

simplify2.5s

Counts

33 → 33

Iterations

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

prune134.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

10.0ms	(/ 1 (/ (log1p x) (log1p (- x))))
9.0ms	(/ (log1p x) (log1p (- x)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ 1 (/ (log1p x) (log1p (- x))))
90.0ms	(/ (log1p x) (log1p (- x)))

simplify2.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	1961
1	668
0	258

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
59×	`times-frac` `add-cbrt-cube` `add-exp-log`
47×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
25×	`pow1`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
14×	`associate-r`
13×	`swap-sqr`
11×	`frac-times` `associate-*r/`
7×	`cbrt-div` `associate-*l/`
6×	`pow-prod-up` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 181

Calls

4 calls:

11.0ms	(/ (log1p x) (log1p (- x)))
471.0ms	(* (/ (log1p x) (log1p (- x))) (* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x)))))
32.0ms	(* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x))))
51.0ms	(cbrt (* (/ (log1p x) (log1p (- x))) (* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x))))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (log1p x) (log1p (- x)))
238.0ms	(* (/ (log1p x) (log1p (- x))) (* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x)))))
172.0ms	(* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x))))
106.0ms	(cbrt (* (/ (log1p x) (log1p (- x))) (* (/ (log1p x) (log1p (- x))) (/ (log1p x) (log1p (- x))))))

simplify5.0s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
1	1466
0	438

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample7.5s

Algorithm

intervals

Results

4.9s	3426×	body	1280	valid
1.7s	2506×	body	640	valid
429.0ms	1223×	body	320	valid
269.0ms	8000×	pre	80	true
111.0ms	614×	body	160	valid
18.0ms	231×	body	80	valid