Details

sample210.0ms

Algorithm

intervals

Results

120.0ms	100×	body	1280	valid
46.0ms	77×	body	640	valid
15.0ms	46×	body	320	valid
8.0ms	256×	pre	80	true
5.0ms	26×	body	160	valid
1.0ms	7×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
8.3b	(log (+ 1 x))
8.8b	(log (- 1 x))

rewrite49.0ms

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:

40.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
3.0ms	(log (+ 1 x))
4.0ms	(log (- 1 x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
37.0ms	(log (+ 1 x))
40.0ms	(log (- 1 x))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
3	3507
2	1069
1	388
0	178

prune722.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

24.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify1.6s

Counts

22 → 22

Iterations

Iter	Nodes
4	3885
3	806
2	249
1	99
0	48

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
1.8b	(log (+ (* x (* x x)) 1))
8.7b	(log (+ (* x x) (- 1 x)))
8.8b	(log (- 1 x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

20.0ms	(* x (* x x))
23.0ms	(log (+ (* x (* x x)) 1))
20.0ms	(log (+ (* x x) (- 1 x)))
4.0ms	(log (- 1 x))

series572.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (* x x))
445.0ms	(log (+ (* x (* x x)) 1))
33.0ms	(log (+ (* x x) (- 1 x)))
42.0ms	(log (- 1 x))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
3	3171
2	893
1	362
0	179

prune756.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.8b	(log (+ (cbrt (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) 1))
8.7b	(log (+ (* x x) (- 1 x)))
8.8b	(log (- 1 x))
13.1b	(cbrt (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

13×	`log-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`cube-unmult` `rem-log-exp` `log-pow`
2×	`flip3-+` `pow-prod-down` `rem-cbrt-cube` `flip-+` `difference-of-squares`
1×	`cbrt-prod` `flip3--` `pow1/3` `pow3` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 61

Calls

4 calls:

115.0ms	(log (+ (cbrt (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) 1))
13.0ms	(log (+ (* x x) (- 1 x)))
4.0ms	(log (- 1 x))
309.0ms	(cbrt (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))))

series616.0ms

Counts

4 → 12

Calls

4 calls:

476.0ms	(log (+ (cbrt (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) 1))
40.0ms	(log (+ (* x x) (- 1 x)))
33.0ms	(log (- 1 x))
66.0ms	(cbrt (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
3	2800
2	873
1	354
0	174

prune772.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	7

end0.0ms

sample8.9s

Algorithm

intervals

Results

5.1s	3290×	body	1280	valid
2.2s	2590×	body	640	valid
557.0ms	1272×	body	320	valid
517.0ms	630×	body	160	valid
324.0ms	8000×	pre	80	true
26.0ms	218×	body	80	valid