Details

sample83.0ms

Algorithm

intervals

Results

14.0ms	170×	body	80	valid
12.0ms	27×	body	1280	valid
10.0ms	33×	body	640	valid
6.0ms	99×	body	80	nan
4.0ms	19×	body	320	valid
4.0ms	14×	body	640	nan
2.0ms	11×	body	320	nan
2.0ms	5×	body	1280	nan
1.0ms	7×	body	160	valid
0.0ms	3×	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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize33.0ms

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)))
4.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite158.0ms

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:

39.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
29.0ms	(/ (- x y) (- 1.0 y))
44.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
37.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
73.0ms	(/ (- x y) (- 1.0 y))
57.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
127.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify863.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1712
1	498
0	204

prune633.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
0.1b	(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
4.1b	(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
4.4b	(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
476×	`*-un-lft-identity`
373×	`add-sqr-sqrt`
170×	`add-cube-cbrt`
136×	`associate-l`
97×	`distribute-lft-out--` `difference-of-squares`
56×	`distribute-lft-out`
26×	`associate-/r/` `associate-/l*`
19×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`flip3-+` `flip-+` `div-inv`
7×	`pow1`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`flip3--` `associate-r` `flip--`
3×	`log-prod` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `log-div` `distribute-lft-in` `div-sub` `associate-*r/` `associate--r+`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `rem-log-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `associate-/l/`

Counts

4 → 372

Calls

4 calls:

51.0ms	(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
154.0ms	(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
8.0ms	(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
6.0ms	(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
41.0ms	(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
78.0ms	(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
116.0ms	(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

simplify908.0ms

Counts

384 → 384

Iterations

Iter	Nodes
done	5000
1	1688
0	436

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite164.0ms

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:

39.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
17.0ms	(/ (- x y) (- 1.0 y))
70.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
45.0ms	(/ (- x y) (- 1.0 y))
172.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
71.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.0s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	2296
1	652
0	268

prune787.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

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)))
4.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
28×	`times-frac`
18×	`add-cube-cbrt` `difference-of-squares`
15×	`distribute-lft-out--`
12×	`log-prod`
9×	`add-log-exp`
7×	`add-exp-log`
6×	`pow1` `associate-+r+` `distribute-neg-in` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`flip3--` `flip--`
3×	`distribute-lft-out`
2×	`log-div` `sum-log` `distribute-rgt-neg-in` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`neg-sub0` `cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `rem-log-exp` `unsub-neg` `neg-log` `flip-+` `div-inv` `associate--r-`

Counts

4 → 109

Calls

4 calls:

54.0ms	(+ 1.0 (- (log (- 1.0 (/ (- x y) (- 1.0 y))))))
19.0ms	(/ (- x y) (- 1.0 y))
27.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
30.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ 1.0 (- (log (- 1.0 (/ (- x y) (- 1.0 y))))))
47.0ms	(/ (- x y) (- 1.0 y))
97.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
118.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify985.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	1935
1	538
0	211

prune524.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes393.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.4b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample2.6s

Algorithm

intervals

Results

604.0ms	3924×	body	80	nan
414.0ms	5677×	body	80	valid
375.0ms	817×	body	1280	valid
274.0ms	803×	body	640	valid
170.0ms	383×	body	1280	nan
115.0ms	363×	body	640	nan
84.0ms	461×	body	320	valid
31.0ms	201×	body	320	nan
30.0ms	242×	body	160	valid
10.0ms	99×	body	160	nan