Details

sample298.0ms

Algorithm

intervals

Results

183.0ms	106×	body	1280	valid
61.0ms	72×	body	640	valid
23.0ms	49×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	18×	body	160	valid
1.0ms	11×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
5.9b	(log (- 1 x))
5.9b	(log (+ 1 x))

rewrite41.0ms

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:

26.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
7.0ms	(log (+ 1 x))

series585.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
41.0ms	(log (- 1 x))
428.0ms	(log (+ 1 x))

simplify948.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2002
2	1125
1	404
0	178

prune353.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

16.0ms	(* (* x x) -1/2)
63.0ms	(+ (- (+ x 1)) (* (* x x) -1/2))

series70.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (* x x) -1/2)
23.0ms	(+ (- (+ x 1)) (* (* x x) -1/2))

simplify580.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	2001
2	720
1	216
0	77

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

5.9b	(log (- 1 x))
5.9b	(log (+ 1 x))
5.9b	(log (+ 1 x))
5.9b	(log (+ 1 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`difference-of-squares`
1×	`flip3--` `flip--` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

7.0ms	(log (- 1 x))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))

series145.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(log (- 1 x))
23.0ms	(log (+ 1 x))
47.0ms	(log (+ 1 x))
41.0ms	(log (+ 1 x))

simplify644.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
3	974
2	380
1	182
0	92

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

5.9b	(log (+ 1 x))
5.9b	(log (+ 1 x))
6.0b	(log (sqrt (- 1 x)))
6.0b	(log (sqrt (- 1 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
20×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
12×	`sqrt-prod`
10×	`pow1` `add-cube-cbrt`
8×	`log-div` `add-exp-log` `log-pow`
4×	`add-cbrt-cube` `sqrt-div` `rem-log-exp` `insert-posit16` `add-log-exp` `difference-of-squares`
2×	`sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 78

Calls

4 calls:

3.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))
7.0ms	(log (sqrt (- 1 x)))
7.0ms	(log (sqrt (- 1 x)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(log (+ 1 x))
37.0ms	(log (+ 1 x))
94.0ms	(log (sqrt (- 1 x)))
92.0ms	(log (sqrt (- 1 x)))

simplify813.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2000
3	1088
2	441
1	216
0	116

prune408.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
2	18
1	17
0	8

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.6s	3403×	body	1280	valid
2.0s	2494×	body	640	valid
534.0ms	1250×	body	320	valid
349.0ms	8000×	pre	80	true
165.0ms	645×	body	160	valid
23.0ms	208×	body	80	valid