Details

sample56.0ms

Algorithm

intervals

Results

10.0ms	180×	body	80	valid
8.0ms	27×	body	1280	valid
6.0ms	26×	body	640	valid
5.0ms	127×	body	80	nan
2.0ms	15×	body	320	valid
2.0ms	9×	body	1280	nan
2.0ms	10×	body	640	nan
1.0ms	7×	body	320	nan
1.0ms	8×	body	160	valid
0.0ms	5×	body	160	nan

simplify1.7s

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	75	12
5	124	12
6	208	12
7	320	12
8	772	12
9	3045	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
2.3b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite206.0ms

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:

32.0ms	(/ (- x y) (- 1.0 y))
76.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
39.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
54.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- x y) (- 1.0 y))
136.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
84.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
131.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify986.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	205	1894
1	498	1792
2	1716	1680
done	5002	1680

prune462.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
4.3b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.2b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

13.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
98.0ms	(* (- x y) (/ 1 (- 1.0 y)))
4.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
74.0ms	(* (- x y) (/ 1 (- 1.0 y)))
139.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
74.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify5.3s

Counts

108 → 108

Iterations

Useful iterations: 2 (787.0ms)

Iter	Nodes	Cost
0	212	1817
1	540	1648
2	3403	1319
done	5000	1319

prune343.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
0.3b	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
2.3b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cube-cbrt`
10×	`pow1` `distribute-lft-out--`
8×	`difference-of-squares`
6×	`add-exp-log` `log-prod` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `cbrt-div` `times-frac` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `associate--r-` `rem-cube-cbrt`

Counts

4 → 93

Calls

4 calls:

18.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
22.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
40.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
697.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
87.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
119.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.2s

Counts

105 → 105

Iterations

Useful iterations: 2 (815.0ms)

Iter	Nodes	Cost
0	300	2742
1	885	2459
2	3991	2212
done	5000	2212

prune400.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
2.3b	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
4.3b	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
7.1b	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
184×	`times-frac`
183×	`add-sqr-sqrt`
76×	`distribute-lft-out--`
75×	`add-cube-cbrt`
58×	`difference-of-squares`
55×	`swap-sqr`
31×	`associate-r` `associate-l`
22×	`log-prod`
21×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`pow1` `associate-/r/`
9×	`distribute-lft-out`
6×	`flip3--` `div-exp` `flip--` `div-inv` `add-log-exp`
5×	`cbrt-undiv`
4×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`flip3-+` `rem-log-exp` `flip-+` `associate-/l/`
1×	`pow2` `frac-times` `sub-neg` `log-div` `frac-2neg` `pow-plus` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `log-pow` `*-commutative` `pow-prod-up`

Counts

4 → 232

Calls

4 calls:

109.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
8.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
51.0ms	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
122.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series688.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
142.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
273.0ms	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
203.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify698.0ms

Counts

244 → 244

Iterations

Useful iterations: done (680.0ms)

Iter	Nodes	Cost
0	342	7463
1	1134	6920
done	5000	6441

prune905.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes428.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.9b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	42
1	30	42
done	30	42

end0.0ms

sample2.3s

Algorithm

intervals

Results

726.0ms	5686×	body	80	valid
315.0ms	796×	body	1280	valid
267.0ms	780×	body	640	valid
168.0ms	3774×	body	80	nan
102.0ms	384×	body	640	nan
90.0ms	361×	body	1280	nan
77.0ms	485×	body	320	valid
54.0ms	138×	body	160	nan
32.0ms	225×	body	320	nan
27.0ms	253×	body	160	valid