Details

sample47.0ms

Algorithm

intervals

Results

8.0ms	164×	body	80	valid
7.0ms	31×	body	1280	valid
4.0ms	132×	body	80	nan
4.0ms	26×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	8×	body	1280	nan
1.0ms	9×	body	320	nan
1.0ms	11×	body	160	valid
1.0ms	6×	body	640	nan
0.0ms	3×	body	160	nan

simplify110.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize10.0ms

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))
3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite150.0ms

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:

44.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
30.0ms	(/ (- x y) (- 1.0 y))
38.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
42.0ms	(/ (- x y) (- 1.0 y))
63.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
92.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.7s

Counts

120 → 120

Iterations

Useful iterations: 3 (789.0ms)

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

prune324.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))))
3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite205.0ms

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:

53.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
32.0ms	(/ (- x y) (- 1.0 y))
78.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
59.0ms	(/ (- x y) (- 1.0 y))
179.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
79.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.4s

Counts

156 → 156

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	267	2917
1	622	2789
2	1546	2647
3	4000	2594
done	5000	2594

prune430.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

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-+l+` `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:

51.0ms	(log (* 1.0 (+ (* (exp 1.0) (- x y)) (exp 1.0))))
29.0ms	(+ (* (exp 1.0) (- x y)) (exp 1.0))
37.0ms	(* (exp 1.0) (- x y))

series341.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms	(log (* 1.0 (+ (* (exp 1.0) (- x y)) (exp 1.0))))
68.0ms	(+ (* (exp 1.0) (- x y)) (exp 1.0))
97.0ms	(* (exp 1.0) (- x y))

simplify2.6s

Counts

64 → 64

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	116	810
1	282	752
2	950	656
3	4198	635
done	5000	626

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (+ 1 (/ 1.0 y)) (/ x y)) (/ 1.0 y))
0.1b	(* (+ 1 (/ 1.0 y)) (/ x y))
1.5b	(log (- (* (+ 1 (/ 1.0 y)) (/ x y)) (/ 1.0 y)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac` `frac-sub`
9×	`add-exp-log`
8×	`log-div` `add-cbrt-cube`
6×	`pow1` `frac-times` `flip3-+` `associate-*l/` `flip-+`
5×	`associate-*r/` `add-log-exp`
4×	`associate-l`
3×	`log-prod`
2×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `sub-div` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `log-pow` `*-commutative` `div-inv` `distribute-lft-out`

Counts

3 → 75

Calls

3 calls:

37.0ms	(- (* (+ 1 (/ 1.0 y)) (/ x y)) (/ 1.0 y))
72.0ms	(* (+ 1 (/ 1.0 y)) (/ x y))
35.0ms	(log (- (* (+ 1 (/ 1.0 y)) (/ x y)) (/ 1.0 y)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* (+ 1 (/ 1.0 y)) (/ x y)) (/ 1.0 y))
78.0ms	(* (+ 1 (/ 1.0 y)) (/ x y))
106.0ms	(log (- (* (+ 1 (/ 1.0 y)) (/ x y)) (/ 1.0 y)))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	183	1688
1	444	1561
2	1430	1438
done	5000	1403

prune226.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.1b

bsearch162.0ms

Steps

Iters	Range		Point
10	0.00565890190154967	3744461241692.0635	54137734.38243346
9	-534556523479.6495	-34576.49081739624	-212491914.19131115

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	53
1	31	38
done	31	38

end0.0ms

sample2.4s

Algorithm

intervals

Results

507.0ms	797×	body	640	valid
447.0ms	5726×	body	80	valid
298.0ms	821×	body	1280	valid
261.0ms	3819×	body	80	nan
128.0ms	360×	body	1280	nan
125.0ms	416×	body	640	nan
67.0ms	424×	body	320	valid
62.0ms	225×	body	320	nan
25.0ms	232×	body	160	valid
12.0ms	130×	body	160	nan