Details

sample86.0ms

Algorithm

intervals

Results

19.0ms	180×	body	80	valid
11.0ms	25×	body	1280	valid
9.0ms	27×	body	640	valid
8.0ms	127×	body	80	nan
5.0ms	12×	body	1280	nan
4.0ms	16×	body	320	valid
3.0ms	12×	body	640	nan
1.0ms	8×	body	160	valid
1.0ms	4×	body	320	nan
0.0ms	2×	body	160	nan

simplify151.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

42.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
23.0ms	(/ (- x y) (- 1.0 y))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
74.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
56.0ms	(/ (- x y) (- 1.0 y))
79.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
111.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify691.0ms

Counts: 120 → 120

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.5b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

35.0ms	(/ (- x y) (- 1.0 y))
54.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
104.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
42.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- x y) (- 1.0 y))
168.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
160.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
80.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify727.0ms

Counts: 156 → 156

prune440.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.3b	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.3b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in`
3×	`log-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `flip3--` `rem-log-exp` `associate-l` `sum-log` `log-pow` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 55

Calls

3 calls:

40.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
42.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
48.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series477.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
244.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
113.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify810.0ms

Counts: 64 → 64

prune205.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (log 1.0) 1.0) (log (+ (- x y) 1)))
3.9b	(log (+ (- x y) 1))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`distribute-lft-out`
10×	`log-prod`
8×	`pow1`
6×	`log-pow`
5×	`associate-+r+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `add-log-exp`
3×	`add-exp-log` `flip3-+` `sum-log` `flip-+`
2×	`associate-+r-` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `associate-+l+` `rem-log-exp`

Counts

2 → 42

Calls

2 calls:

88.0ms	(+ (+ (log 1.0) 1.0) (log (+ (- x y) 1)))
29.0ms	(log (+ (- x y) 1))

series123.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (+ (log 1.0) 1.0) (log (+ (- x y) 1)))
49.0ms	(log (+ (- x y) 1))

simplify1.2s

Counts: 48 → 48

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 18.0b

bsearch1.0ms

simplify922.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

616.0ms	830×	body	1280	valid
450.0ms	5728×	body	80	valid
238.0ms	760×	body	640	valid
166.0ms	3738×	body	80	nan
109.0ms	238×	body	160	valid
106.0ms	363×	body	640	nan
79.0ms	329×	body	1280	nan
66.0ms	444×	body	320	valid
29.0ms	216×	body	320	nan
11.0ms	118×	body	160	nan