Details

sample257.0ms

Algorithm

intervals

Results

155.0ms	116×	body	1280	valid
55.0ms	78×	body	640	valid
18.0ms	42×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	16×	body	160	valid
0.0ms	4×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
4.4b	(log (- 1 x))
4.7b	(log (+ 1 x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

24.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
4.0ms	(log (+ 1 x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
43.0ms	(log (- 1 x))
35.0ms	(log (+ 1 x))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1575
1	413
0	178

prune453.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) -1/2)
0.0b	(+ (+ (- x) -1) (* (* x x) -1/2))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`sum-log`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`associate-+l-` `insert-posit16`
1×	`neg-sub0` `+-commutative` `associate-+l+` `flip3-+` `associate-l` `neg-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

22.0ms	(* (* x x) -1/2)
44.0ms	(+ (+ (- x) -1) (* (* x x) -1/2))

series73.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (* x x) -1/2)
23.0ms	(+ (+ (- x) -1) (* (* x x) -1/2))

simplify1.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1256
1	221
0	78

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
1.3b	(log (+ 1 (* (* x x) x)))
4.4b	(log (- 1 x))
4.4b	(log (+ (- (* x x) x) 1))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
13×	`log-prod` `*-un-lft-identity`
12×	`add-sqr-sqrt` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`log-div` `pow-plus` `pow-prod-up`
4×	`insert-posit16` `add-log-exp`
3×	`rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`pow2` `flip3-+` `pow-sqr` `flip-+` `difference-of-squares`
1×	`flip3--` `associate-l` `pow3` `*-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

34.0ms	(* (* x x) x)
5.0ms	(log (+ 1 (* (* x x) x)))
7.0ms	(log (- 1 x))
25.0ms	(log (+ (- (* x x) x) 1))

series623.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* x x) x)
488.0ms	(log (+ 1 (* (* x x) x)))
31.0ms	(log (- 1 x))
42.0ms	(log (+ (- (* x x) x) 1))

simplify2.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	2664
1	434
0	178

prune338.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (- 1 x)) (+ (log (sqrt (+ 1 x))) (log (sqrt (+ 1 x)))))
4.4b	(log (- 1 x))
4.7b	(log (sqrt (+ 1 x)))
4.7b	(log (sqrt (+ 1 x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-pow`
116×	`pow1`
104×	`times-frac`
98×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
50×	`distribute-rgt-out`
42×	`distribute-lft-out`
32×	`sqrt-pow1` `pow1/2`
26×	`associate-/r*`
20×	`log-prod`
10×	`distribute-lft1-in` `distribute-rgt1-in`
9×	`add-exp-log`
8×	`log-div` `sqrt-prod`
6×	`add-cbrt-cube`
5×	`count-2`
4×	`sqrt-div` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+`
2×	`flip3--` `div-sub` `associate-/r/` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`

Counts

4 → 211

Calls

4 calls:

25.0ms	(/ (log (- 1 x)) (+ (log (sqrt (+ 1 x))) (log (sqrt (+ 1 x)))))
6.0ms	(log (- 1 x))
6.0ms	(log (sqrt (+ 1 x)))
4.0ms	(log (sqrt (+ 1 x)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(/ (log (- 1 x)) (+ (log (sqrt (+ 1 x))) (log (sqrt (+ 1 x)))))
26.0ms	(log (- 1 x))
63.0ms	(log (sqrt (+ 1 x)))
72.0ms	(log (sqrt (+ 1 x)))

simplify1.8s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	2514
1	661
0	302

prune656.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample8.3s

Algorithm

intervals

Results

5.0s	3350×	body	1280	valid
2.1s	2526×	body	640	valid
582.0ms	1273×	body	320	valid
259.0ms	8000×	pre	80	true
147.0ms	613×	body	160	valid
25.0ms	238×	body	80	valid