Details

sample37.0ms

Algorithm

intervals

Results

7.0ms	189×	body	80	valid
5.0ms	28×	body	1280	valid
3.0ms	27×	body	640	valid
3.0ms	101×	body	80	nan
2.0ms	11×	body	1280	nan
1.0ms	14×	body	640	nan
1.0ms	7×	body	320	valid
1.0ms	8×	body	320	nan
0.0ms	5×	body	160	valid
0.0ms	6×	body	160	nan

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize9.0ms

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)))))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(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:

21.0ms	(/ (- x y) (- 1.0 y))
37.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
36.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- x y) (- 1.0 y))
92.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
57.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	488	942
1	1388	894
2	5001	876

prune315.0ms

Pruning

4 alts after pruning (4 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))))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite163.0ms

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:

21.0ms	(/ (- x y) (- 1.0 y))
35.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
68.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (- x y) (- 1.0 y))
152.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
121.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	621	1546
1	1974	1467
2	5001	1448

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `div-sub` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 66

Calls

4 calls:

32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
31.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
87.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	194	688
1	481	626
2	1890	618
3	5002	618

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.0b	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.4b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite118.0ms

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-+l+` `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:

37.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
35.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
44.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series370.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
96.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
91.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	326	591
1	1456	505
2	5001	464

prune148.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.9b

bsearch136.0ms

Steps

Iters	Range		Point
11	3.147991408827441	4.657186040723932e+28	116648832255.32033
7	-1557293340.659962	-28256763.0897718	-201288582.2730186

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	17
1	34	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

223.0ms	5736×	body	80	valid
163.0ms	812×	body	1280	valid
102.0ms	791×	body	640	valid
91.0ms	3631×	body	80	nan
55.0ms	381×	body	1280	nan
44.0ms	380×	body	640	nan
42.0ms	425×	body	320	valid
17.0ms	222×	body	320	nan
15.0ms	236×	body	160	valid
6.0ms	124×	body	160	nan