Details

sample295.0ms

Algorithm

intervals

Results

168.0ms	104×	body	1280	valid
70.0ms	83×	body	640	valid
28.0ms	48×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	14×	body	160	valid
1.0ms	7×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite468.0ms

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:

35.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
425.0ms	(log (- 1 x))
4.0ms	(log (+ 1 x))

series162.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
28.0ms	(log (- 1 x))
30.0ms	(log (+ 1 x))

simplify2.5s

Counts

82 → 82

Iterations

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

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite804.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`associate-r`
16×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp` `unswap-sqr`
4×	`swap-sqr`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`
2×	`diff-log` `associate--l+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `flip--` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

31.0ms	(* -1/2 (* x x))
771.0ms	(- (+ (* -1/2 (* x x)) -1) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* -1/2 (* x x))
31.0ms	(- (+ (* -1/2 (* x x)) -1) x)

simplify2.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5017
3	3038
2	832
1	275
0	99

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

126.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify2.3s

Counts

25 → 25

Iterations

Iter	Nodes
done	5012
3	2366
2	418
1	118
0	42

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
2.0b	(log (- 1 (* x x)))
5.4b	(log (+ 1 x))
5.4b	(log (+ 1 x))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
36×	`pow1`
32×	`times-frac` `log-pow`
27×	`log-prod`
22×	`add-cube-cbrt` `distribute-lft-out--`
15×	`difference-of-squares`
9×	`add-exp-log`
8×	`log-div` `associate-/l*`
7×	`div-sub`
6×	`add-cbrt-cube`
4×	`associate-/r*` `insert-posit16` `associate--r+` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `distribute-lft-out`
2×	`associate--l-` `flip3-+` `swap-sqr` `*-commutative` `flip-+` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-l` `div-inv`

Counts

4 → 125

Calls

4 calls:

105.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
31.0ms	(log (- 1 (* x x)))
7.0ms	(log (+ 1 x))
8.0ms	(log (+ 1 x))

series394.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
171.0ms	(log (- 1 (* x x)))
44.0ms	(log (+ 1 x))
32.0ms	(log (+ 1 x))

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
2	1578
1	583
0	245

prune387.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample9.0s

Algorithm

intervals

Results

5.4s	3432×	body	1280	valid
2.0s	2442×	body	640	valid
931.0ms	1228×	body	320	valid
289.0ms	8000×	pre	80	true
208.0ms	662×	body	160	valid
28.0ms	236×	body	80	valid