Details

sample218.0ms

Algorithm

intervals

Results

122.0ms	95×	body	1280	valid
54.0ms	81×	body	640	valid
17.0ms	44×	body	320	valid
8.0ms	256×	pre	80	true
5.0ms	22×	body	160	valid
1.0ms	14×	body	80	valid

simplify5.0ms

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: 58.9b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
6.5b	(log (+ 1 x))
6.5b	(log (- 1 x))

rewrite20.0ms

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)))
4.0ms	(log (+ 1 x))
4.0ms	(log (- 1 x))

series146.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
30.0ms	(log (+ 1 x))
29.0ms	(log (- 1 x))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
3	3531
2	1067
1	389
0	178

prune730.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

14.0ms	(* (* x x) -1/2)
25.0ms	(- (+ -1 (* (* x x) -1/2)) x)

series78.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (* x x) -1/2)
30.0ms	(- (+ -1 (* (* x x) -1/2)) x)

simplify659.0ms

Counts

43 → 43

Iterations

Iter	Nodes
3	2030
2	574
1	183
0	76

prune302.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

28.0ms	(* (* x x) -1/2)
31.0ms	(+ -1 (- (* (* x x) -1/2) x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* x x) -1/2)
38.0ms	(+ -1 (- (* (* x x) -1/2) x))

simplify3.4s

Counts

43 → 43

Iterations

Iter	Nodes
4	8050
3	1764
2	491
1	182
0	72

prune299.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 99

Calls

4 calls:

28.0ms	(cbrt (+ -1 (- (* (* x x) -1/2) x)))
45.0ms	(cbrt (+ -1 (- (* (* x x) -1/2) x)))
26.0ms	(cbrt (+ -1 (- (* (* x x) -1/2) x)))
315.0ms	(* (cbrt (+ -1 (- (* (* x x) -1/2) x))) (cbrt (+ -1 (- (* (* x x) -1/2) x))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (+ -1 (- (* (* x x) -1/2) x)))
106.0ms	(cbrt (+ -1 (- (* (* x x) -1/2) x)))
101.0ms	(cbrt (+ -1 (- (* (* x x) -1/2) x)))
126.0ms	(* (cbrt (+ -1 (- (* (* x x) -1/2) x))) (cbrt (+ -1 (- (* (* x x) -1/2) x))))

simplify1.3s

Counts

111 → 111

Iterations

Iter	Nodes
3	2385
2	825
1	342
0	151

prune947.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes106.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	7

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.4s	3442×	body	1280	valid
2.4s	2447×	body	640	valid
630.0ms	1245×	body	320	valid
356.0ms	8000×	pre	80	true
197.0ms	631×	body	160	valid
28.0ms	235×	body	80	valid