Details

sample101.0ms

Algorithm

intervals

Results

52.0ms	65×	body	1280	valid
20.0ms	50×	body	640	valid
8.0ms	33×	body	320	valid
5.0ms	95×	body	80	valid
4.0ms	102×	body	80	nan
2.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.1b	(log (+ 1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

6.0ms

(log (+ 1 x))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(log (+ 1 x))

simplify1.3s

Counts

19 → 19

Iterations

Iter	Nodes
5	2837
4	1070
3	438
2	209
1	106
0	55

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) (- (* 1/3 x) 1/2))
0.3b	(* 1/3 x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 45

Calls

2 calls:

41.0ms	(* (* x x) (- (* 1/3 x) 1/2))
10.0ms	(* 1/3 x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (* x x) (- (* 1/3 x) 1/2))
21.0ms	(* 1/3 x)

simplify867.0ms

Counts

51 → 51

Iterations

Iter	Nodes
3	2297
2	611
1	223
0	81

prune356.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.3b	(- (log (+ 1 (* (* x x) x))) (log (+ (- 1 x) (* x x))))
15.5b	(log (+ (- 1 x) (* x x)))
16.0b	(log (+ 1 (* (* x x) x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube` `add-cube-cbrt`
8×	`log-div`
6×	`pow-plus` `log-pow` `pow-prod-up`
4×	`flip3-+` `flip-+` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod` `associate--r+`
2×	`associate--l-` `pow2` `rem-log-exp` `pow-sqr` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `pow3` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (* x x) x)
38.0ms	(- (log (+ 1 (* (* x x) x))) (log (+ (- 1 x) (* x x))))
27.0ms	(log (+ (- 1 x) (* x x)))
5.0ms	(log (+ 1 (* (* x x) x)))

series727.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x x) x)
83.0ms	(- (log (+ 1 (* (* x x) x))) (log (+ (- 1 x) (* x x))))
55.0ms	(log (+ (- 1 x) (* x x)))
544.0ms	(log (+ 1 (* (* x x) x)))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
3	2567
2	962
1	398
0	173

prune795.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize111.0ms

Local error

Found 4 expressions with local error:

16.0b	(log (+ 1 (* x (* x x))))
16.0b	(log (+ 1 (* x (* x x))))
16.0b	(log (+ 1 (* x (* x x))))
16.0b	(log (+ 1 (* x (* x x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `log-div` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

3.0ms	(log (+ 1 (* x (* x x))))
3.0ms	(log (+ 1 (* x (* x x))))
3.0ms	(log (+ 1 (* x (* x x))))
3.0ms	(log (+ 1 (* x (* x x))))

series2.0s

Counts

4 → 12

Calls

4 calls:

485.0ms	(log (+ 1 (* x (* x x))))
543.0ms	(log (+ 1 (* x (* x x))))
511.0ms	(log (+ 1 (* x (* x x))))
456.0ms	(log (+ 1 (* x (* x x))))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
4	3496
3	1129
2	361
1	140
0	63

prune952.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes91.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.5b

bsearch27.0ms

Steps

Iters	Range		Point
6	4.2592438902487584e-05	0.00023203888932163942	0.00012930592350443132

simplify2.0ms

Iterations

Iter	Nodes
2	20
1	20
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.8s	2334×	body	1280	valid
745.0ms	1638×	body	640	valid
182.0ms	829×	body	320	valid
145.0ms	2777×	body	80	valid
103.0ms	2715×	body	80	nan
54.0ms	422×	body	160	valid