Details

sample49.0ms

Algorithm

intervals

Results

8.0ms	34×	body	1280	valid
8.0ms	165×	body	80	valid
6.0ms	30×	body	640	valid
4.0ms	100×	body	80	nan
2.0ms	17×	body	320	valid
2.0ms	8×	body	640	nan
1.0ms	10×	body	160	valid
1.0ms	3×	body	1280	nan
0.0ms	4×	body	320	nan
0.0ms	1×	body	160	nan

simplify953.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2335
8	741
7	343
6	223
5	123
4	75
3	41
2	29
1	19
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize14.0ms

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))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite148.0ms

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` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 108

Calls

4 calls:

44.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
21.0ms	(/ (- x y) (- 1.0 y))
30.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
48.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
65.0ms	(/ (- x y) (- 1.0 y))
93.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
116.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify811.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1712
1	498
0	204

prune639.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite261.0ms

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` `clear-num` `frac-2neg` `div-sub` `rem-log-exp` `associate-/l/`
1×	`log-div` `sub-neg` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

56.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
37.0ms	(/ (- x y) (- 1.0 y))
111.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
67.0ms	(/ (- x y) (- 1.0 y))
184.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
69.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	2296
1	652
0	268

prune795.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (- 1.0 (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
2.5b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
8.9b	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
9.0b	(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
48×	`difference-of-squares`
39×	`log-prod`
38×	`*-un-lft-identity`
36×	`unpow-prod-down` `cube-prod`
20×	`sqr-pow`
16×	`times-frac`
14×	`distribute-lft-out--`
11×	`pow1`
8×	`log-div` `add-log-exp`
7×	`log-pow` `add-cube-cbrt`
6×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube`
3×	`associate-+r+` `flip3-+` `flip3--` `flip-+` `flip--`
2×	`difference-cubes` `associate-+r-` `sum-log` `sub-neg` `diff-log` `rem-log-exp` `associate--r-`
1×	`+-commutative` `associate-+l-`

Counts

4 → 128

Calls

4 calls:

65.0ms	(+ (- 1.0 (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
131.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
129.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
10.0ms	(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

499.0ms	(+ (- 1.0 (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
272.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
507.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
259.0ms	(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

simplify1.2s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	2372
1	626
0	254

prune883.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y))))
1.8b	(+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))
7.9b	(/ (* 1.0 x) (* y y))
15.7b	(log (/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
31×	`times-frac`
25×	`log-prod`
23×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`distribute-lft-out`
12×	`frac-add` `associate-/r/`
9×	`add-log-exp`
8×	`distribute-lft-out--`
6×	`associate-/r*` `div-exp`
5×	`pow1` `cbrt-undiv`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`flip3-+` `flip3--` `frac-sub` `flip-+` `div-inv` `flip--` `sub-div`
2×	`associate-+r+` `clear-num` `sum-log` `frac-2neg` `rem-log-exp`
1×	`+-commutative` `log-div` `associate-+r-` `sub-neg` `diff-log` `log-pow`

Counts

4 → 119

Calls

4 calls:

123.0ms	(/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y))))
86.0ms	(+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))
21.0ms	(/ (* 1.0 x) (* y y))
117.0ms	(log (/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y))))
64.0ms	(+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))
54.0ms	(/ (* 1.0 x) (* y y))
163.0ms	(log (/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))))

simplify2.0s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	3784
1	662
0	232

prune700.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes334.0ms

Accuracy

95.4% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 18.7b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample2.6s

Algorithm

intervals

Results

751.0ms	5642×	body	80	valid
297.0ms	778×	body	1280	valid
264.0ms	3828×	body	80	nan
244.0ms	824×	body	640	valid
190.0ms	350×	body	1280	nan
166.0ms	492×	body	320	valid
126.0ms	391×	body	640	nan
37.0ms	244×	body	320	nan
30.0ms	264×	body	160	valid
12.0ms	116×	body	160	nan