Details

sample34.0ms

Algorithm

intervals

Results

7.0ms	187×	body	80	valid
5.0ms	25×	body	1280	valid
3.0ms	107×	body	80	nan
2.0ms	17×	body	640	valid
2.0ms	13×	body	1280	nan
1.0ms	15×	body	320	valid
1.0ms	12×	body	640	nan
1.0ms	12×	body	160	valid
0.0ms	4×	body	320	nan
0.0ms	5×	body	160	nan

simplify88.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	58	12
5	63	12
6	71	12
7	86	12
8	114	12
9	137	12
10	144	12
done	144	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize9.0ms

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))
3.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite75.0ms

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:

22.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
10.0ms	(/ (- x y) (- 1.0 y))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
36.0ms	(/ (- x y) (- 1.0 y))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
81.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify683.0ms

Counts

120 → 120

Iterations

Useful iterations: done (675.0ms)

Iter	Nodes	Cost
0	205	1894
1	488	1792
2	1254	1680
done	5000	1671

prune289.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)))))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
3.1b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite96.0ms

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:

10.0ms	(/ (- x y) (- 1.0 y))
21.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- x y) (- 1.0 y))
158.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
128.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify636.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	267	2917
1	619	2789
2	1635	2645
done	5000	2645

prune394.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 67

Calls

4 calls:

20.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
18.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
18.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
22.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
84.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
84.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify663.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (174.0ms)

Iter	Nodes	Cost
0	91	1427
1	195	1376
2	457	1229
3	1557	1223
done	5001	1223

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

5.0ms	(+ (* 1.0 (exp 1.0)) (* (* 1.0 (exp 1.0)) (- x y)))
4.0ms	(log (+ (* 1.0 (exp 1.0)) (* (* 1.0 (exp 1.0)) (- x y))))
17.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series373.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ (* 1.0 (exp 1.0)) (* (* 1.0 (exp 1.0)) (- x y)))
181.0ms	(log (+ (* 1.0 (exp 1.0)) (* (* 1.0 (exp 1.0)) (- x y))))
97.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify739.0ms

Counts

64 → 64

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	122	1113
1	324	1027
2	1233	812
done	5000	808

prune129.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.2b

bsearch127.0ms

Steps

Iters	Range		Point
11	3.382151548740658e-10	12169712469967.395	98105251.5900794
8	-542359391.39979	-925426.909356872	-173788009.49411574

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	26	59
1	31	41
done	31	41

end0.0ms

sample1.0s

Algorithm

intervals

Results

224.0ms	5713×	body	80	valid
164.0ms	825×	body	1280	valid
110.0ms	788×	body	640	valid
105.0ms	3682×	body	80	nan
57.0ms	344×	body	1280	nan
51.0ms	403×	body	640	nan
46.0ms	434×	body	320	valid
18.0ms	213×	body	320	nan
16.0ms	240×	body	160	valid
6.0ms	101×	body	160	nan