Details

sample35.0ms

Algorithm

intervals

Results

7.0ms	184×	body	80	valid
4.0ms	25×	body	1280	valid
4.0ms	29×	body	640	valid
3.0ms	108×	body	80	nan
2.0ms	14×	body	1280	nan
1.0ms	11×	body	320	valid
1.0ms	5×	body	640	nan
0.0ms	7×	body	160	valid
0.0ms	4×	body	320	nan
0.0ms	5×	body	160	nan

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	54	12
5	62	12
6	70	12
7	85	12
8	103	12
9	116	12
done	116	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize8.0ms

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))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite129.0ms

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:

39.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
21.0ms	(/ (- x y) (- 1.0 y))
34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
31.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms	(/ (- x y) (- 1.0 y))
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
87.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: 3 (661.0ms)

Iter	Nodes	Cost
0	205	1894
1	489	1792
2	1226	1680
3	3267	1671
done	5000	1671

prune290.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)))))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite168.0ms

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:

22.0ms	(/ (- x y) (- 1.0 y))
36.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
69.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
36.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- x y) (- 1.0 y))
152.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
127.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
57.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.1s

Counts

156 → 156

Iterations

Useful iterations: 3 (974.0ms)

Iter	Nodes	Cost
0	267	2917
1	622	2789
2	1550	2647
3	4003	2594
done	5000	2594

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-sqr-sqrt`
128×	`times-frac`
109×	`*-un-lft-identity`
90×	`log-prod`
65×	`add-cube-cbrt`
60×	`sqrt-prod`
42×	`associate-+r+`
40×	`difference-of-squares`
20×	`distribute-lft-out--`
9×	`pow1` `add-exp-log`
6×	`associate-+l+` `associate-/r` `associate-/r/` `add-cbrt-cube` `associate-/l` `add-log-exp`
5×	`log-pow`
4×	`flip3--` `flip--` `distribute-lft-out`
3×	`div-inv`
2×	`log-div` `div-exp` `rem-log-exp`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `sum-log` `flip-+` `associate--r-`

Counts

4 → 195

Calls

4 calls:

60.0ms	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
37.0ms	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
70.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
207.0ms	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
194.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify776.0ms

Counts

207 → 207

Iterations

Useful iterations: done (769.0ms)

Iter	Nodes	Cost
0	292	4984
1	641	4700
2	1546	4479
done	5000	4300

prune557.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

11.0ms	(log (* 1.0 (+ (exp 1.0) (* (exp 1.0) (- x y)))))
10.0ms	(+ (exp 1.0) (* (exp 1.0) (- x y)))
25.0ms	(* (exp 1.0) (- x y))

series289.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(log (* 1.0 (+ (exp 1.0) (* (exp 1.0) (- x y)))))
64.0ms	(+ (exp 1.0) (* (exp 1.0) (- x y)))
68.0ms	(* (exp 1.0) (- x y))

simplify2.3s

Counts

64 → 64

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	115	806
1	280	740
2	964	648
3	4546	633
done	5000	623

prune129.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 17.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	40
1	25	40
done	25	40

end0.0ms

sample1.1s

Algorithm

intervals

Results

233.0ms	5748×	body	80	valid
154.0ms	807×	body	1280	valid
102.0ms	758×	body	640	valid
92.0ms	3659×	body	80	nan
55.0ms	365×	body	1280	nan
46.0ms	461×	body	320	valid
44.0ms	374×	body	640	nan
15.0ms	178×	body	320	nan
14.0ms	226×	body	160	valid
6.0ms	113×	body	160	nan