Details

sample49.0ms

Algorithm

intervals

Results

8.0ms	165×	body	80	valid
8.0ms	34×	body	1280	valid
5.0ms	30×	body	640	valid
3.0ms	100×	body	80	nan
2.0ms	17×	body	320	valid
1.0ms	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

simplify1.1s

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

localize17.0ms

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))))

rewrite154.0ms

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:

40.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
29.0ms	(/ (- x y) (- 1.0 y))
32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
48.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
54.0ms	(/ (- x y) (- 1.0 y))
62.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
127.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify848.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1712
1	498
0	204

prune629.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

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)))

rewrite215.0ms

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:

30.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
26.0ms	(/ (- x y) (- 1.0 y))
99.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
71.0ms	(/ (- x y) (- 1.0 y))
193.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
95.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.4s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	2296
1	652
0	268

prune831.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

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))))

rewrite362.0ms

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:

57.0ms	(+ (- 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)))))
145.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
145.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
5.0ms	(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:

466.0ms	(+ (- 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)))))
282.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
488.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
254.0ms	(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

simplify1.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	2372
1	626
0	254

prune789.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

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)))))

rewrite445.0ms

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:

189.0ms	(/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y))))
111.0ms	(+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))
21.0ms	(/ (* 1.0 x) (* y y))
120.0ms	(log (/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y))))
45.0ms	(+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))
40.0ms	(/ (* 1.0 x) (* y y))
204.0ms	(log (/ (exp 1.0) (+ (/ (* 1.0 x) (* y y)) (- (/ x y) (/ 1.0 y)))))

simplify2.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	3784
1	662
0	232

prune618.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

95.4% (0.8b remaining)

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

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample2.4s

Algorithm

intervals

Results

552.0ms	5642×	body	80	valid
353.0ms	778×	body	1280	valid
259.0ms	3828×	body	80	nan
235.0ms	824×	body	640	valid
150.0ms	350×	body	1280	nan
126.0ms	492×	body	320	valid
92.0ms	391×	body	640	nan
40.0ms	244×	body	320	nan
34.0ms	264×	body	160	valid
13.0ms	116×	body	160	nan