Details

sample242.0ms

Algorithm

intervals

Results

119.0ms	104×	body	1280	valid
57.0ms	94×	body	640	valid
29.0ms	276×	body	80	nan
10.0ms	25×	body	320	valid
7.0ms	27×	body	160	valid
1.0ms	6×	body	80	valid

simplify231.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize20.0ms

Local error

Found 2 expressions with local error:

6.2b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

Slowest

17.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (/ (+ x 1) (- 1 x)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

99.0ms	(log (/ (+ x 1) (- 1 x)))
40.0ms	(/ (+ x 1) (- 1 x))

simplify943.0ms

Counts: 99 → 99

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x x) 2/3)
0.1b	(* 2/5 (pow x 5))
0.0b	(* x (+ 2 (* (* x x) 2/3)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
13×	`associate-r`
12×	`add-cbrt-cube`
10×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

Slowest

28.0ms	(* (* x x) 2/3)
18.0ms	(* x (+ 2 (* (* x x) 2/3)))
16.0ms	(* 2/5 (pow x 5))

series271.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(* x (+ 2 (* (* x x) 2/3)))
102.0ms	(* 2/5 (pow x 5))
42.0ms	(* (* x x) 2/3)

simplify2.3s

Counts: 78 → 78

prune797.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x x) 2/3)
0.1b	(* (* (* x x) 2/3) x)
0.1b	(* 2/5 (pow x 5))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
13×	`associate-r`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

Slowest

42.0ms	(* (* (* x x) 2/3) x)
17.0ms	(* (* x x) 2/3)
9.0ms	(* 2/5 (pow x 5))

series141.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

70.0ms	(* 2/5 (pow x 5))
42.0ms	(* (* (* x x) 2/3) x)
29.0ms	(* (* x x) 2/3)

simplify1.0s

Counts: 77 → 77

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

6.3b	(log (- 1 x))
6.2b	(log (+ x 1))
0.0b	(- (log (+ x 1)) (log (- 1 x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

Slowest

21.0ms	(- (log (+ x 1)) (log (- 1 x)))
8.0ms	(log (- 1 x))
6.0ms	(log (+ x 1))

series223.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

151.0ms	(- (log (+ x 1)) (log (- 1 x)))
41.0ms	(log (- 1 x))
30.0ms	(log (+ x 1))

simplify1.3s

Counts: 75 → 75

prune514.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch5.0ms

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.5s	3427×	body	1280	valid
2.0s	2491×	body	640	valid
955.0ms	7886×	body	80	nan
543.0ms	1219×	body	320	valid
159.0ms	661×	body	160	valid
23.0ms	202×	body	80	valid