Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	201×	body	80	valid
4.0ms	27×	body	640	valid
3.0ms	123×	body	80	nan
3.0ms	15×	body	1280	valid
2.0ms	14×	body	1280	nan
2.0ms	16×	body	640	nan
1.0ms	8×	body	320	valid
1.0ms	7×	body	320	nan
0.0ms	5×	body	160	valid
0.0ms	3×	body	160	nan

simplify20.0ms

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: 13.8b

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)))))
1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite84.0ms

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:

11.0ms	(/ (- x y) (- 1.0 y))
24.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
24.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (- x y) (- 1.0 y))
91.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

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

prune279.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)))))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite105.0ms

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:

11.0ms	(/ (- x y) (- 1.0 y))
23.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
44.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
21.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- x y) (- 1.0 y))
150.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
128.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (44.0ms)

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

prune399.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)
1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite59.0ms

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:

6.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
6.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
20.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
24.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
507.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
84.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify85.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	805	1310
1	3045	1226
2	5001	1220

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite88.0ms

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:

22.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
20.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
20.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
24.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
86.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	194	742
1	481	673
2	1890	661
3	5002	661

prune293.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 18.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	20
1	28	20

end0.0ms

sample981.0ms

Algorithm

intervals

Results

217.0ms	5695×	body	80	valid
157.0ms	818×	body	1280	valid
103.0ms	771×	body	640	valid
98.0ms	3741×	body	80	nan
52.0ms	343×	body	1280	nan
48.0ms	461×	body	320	valid
44.0ms	394×	body	640	nan
18.0ms	255×	body	160	valid
16.0ms	195×	body	320	nan
7.0ms	127×	body	160	nan