Details

sample39.0ms

Algorithm

intervals

Results

7.0ms	172×	body	80	valid
6.0ms	27×	body	1280	valid
4.0ms	25×	body	640	valid
4.0ms	117×	body	80	nan
2.0ms	12×	body	1280	nan
2.0ms	18×	body	320	valid
1.0ms	11×	body	640	nan
1.0ms	14×	body	160	valid
0.0ms	4×	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: 20.5b

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))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite61.0ms

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	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
40.0ms	(/ (- x y) (- 1.0 y))
88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (31.0ms)

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

prune289.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.6b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.1b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 y))
15.0ms	(* (- x y) (/ 1 (- 1.0 y)))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (- 1.0 y))
39.0ms	(* (- x y) (/ 1 (- 1.0 y)))
85.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
51.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	480	836
1	2036	736
2	5001	688

prune278.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
17.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	194	634
1	481	579
2	1890	575
3	5001	575

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
15.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	634
1	481	579
2	1890	575
3	5001	575

prune298.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes165.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

246.0ms	5667×	body	80	valid
177.0ms	782×	body	1280	valid
130.0ms	812×	body	640	valid
115.0ms	3718×	body	80	nan
64.0ms	360×	body	1280	nan
58.0ms	489×	body	320	valid
55.0ms	407×	body	640	nan
21.0ms	208×	body	320	nan
19.0ms	250×	body	160	valid
8.0ms	120×	body	160	nan