Details

sample210.0ms

Algorithm

intervals

Results

117.0ms	96×	body	1280	valid
51.0ms	80×	body	640	valid
17.0ms	48×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
6.1b	(log (+ 1 x))
6.1b	(log (- 1 x))

rewrite27.0ms

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:

12.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
3.0ms	(log (+ 1 x))
4.0ms	(log (- 1 x))

series117.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
21.0ms	(log (+ 1 x))
24.0ms	(log (- 1 x))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
3	3531
2	1067
1	389
0	178

prune619.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

19.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify2.6s

Counts

20 → 20

Iterations

Iter	Nodes
4	7157
3	1238
2	306
1	104
0	46

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune13.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `add-log-exp`
8×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
6×	`distribute-lft-out` `difference-of-squares`
4×	`frac-times` `associate-/r` `insert-posit16` `associate-/l`
3×	`sum-log` `swap-sqr` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-l/` `associate--l+` `associate-r/` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

15.0ms	(- (* (+ -1 (* (* x x) -1/2)) (+ -1 (* (* x x) -1/2))) (* x x))
19.0ms	(* (+ -1 (* (* x x) -1/2)) (+ -1 (* (* x x) -1/2)))
58.0ms	(/ (- (* (+ -1 (* (* x x) -1/2)) (+ -1 (* (* x x) -1/2))) (* x x)) (+ (+ -1 (* (* x x) -1/2)) x))
26.0ms	(+ (+ -1 (* (* x x) -1/2)) x)

series247.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (* (+ -1 (* (* x x) -1/2)) (+ -1 (* (* x x) -1/2))) (* x x))
43.0ms	(* (+ -1 (* (* x x) -1/2)) (+ -1 (* (* x x) -1/2)))
48.0ms	(/ (- (* (+ -1 (* (* x x) -1/2)) (+ -1 (* (* x x) -1/2))) (* x x)) (+ (+ -1 (* (* x x) -1/2)) x))
32.0ms	(+ (+ -1 (* (* x x) -1/2)) x)

simplify1.1s

Counts

121 → 121

Iterations

Iter	Nodes
2	2299
1	538
0	169

prune953.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes112.0ms

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
2	9
1	9
0	7

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.7s	3395×	body	1280	valid
2.1s	2473×	body	640	valid
549.0ms	1274×	body	320	valid
348.0ms	8000×	pre	80	true
158.0ms	624×	body	160	valid
27.0ms	234×	body	80	valid