Details

sample315.0ms

Algorithm

intervals

Results

203.0ms	110×	body	1280	valid
68.0ms	83×	body	640	valid
15.0ms	38×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	18×	body	160	valid
1.0ms	7×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
5.5b	(log (- 1 x))
6.0b	(log (+ 1 x))

rewrite30.0ms

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:

18.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
5.0ms	(log (- 1 x))
5.0ms	(log (+ 1 x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
40.0ms	(log (- 1 x))
34.0ms	(log (+ 1 x))

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3941
2	1125
1	404
0	178

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`diff-log`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 17

Calls

1 calls:

152.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.7s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
3	1560
2	317
1	104
0	46

prune73.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite847.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

619.0ms	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))
67.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
90.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
68.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))

series440.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))
110.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
106.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
88.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))

simplify2.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
3	2867
2	935
1	359
0	160

prune569.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample8.5s

Algorithm

intervals

Results

5.0s	3421×	body	1280	valid
2.5s	2505×	body	640	valid
564.0ms	1236×	body	320	valid
239.0ms	8000×	pre	80	true
143.0ms	633×	body	160	valid
21.0ms	205×	body	80	valid