Details

sample37.0ms

Algorithm

intervals

Results

7.0ms	35×	body	1280	valid
6.0ms	169×	body	80	valid
4.0ms	32×	body	640	valid
3.0ms	116×	body	80	nan
1.0ms	12×	body	320	valid
1.0ms	11×	body	640	nan
1.0ms	7×	body	1280	nan
0.0ms	8×	body	160	valid
0.0ms	6×	body	320	nan
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: 21.7b

localize9.0ms

Local error

Found 2 expressions with local error:

2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series141.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
87.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	194	344
1	481	313
2	1890	309
3	5002	309

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
2.6b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
10.3b	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
11.7b	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
73×	`difference-of-squares`
72×	`log-prod`
54×	`unpow-prod-down` `cube-prod`
42×	`*-un-lft-identity`
33×	`associate--l+`
30×	`sqr-pow`
24×	`times-frac`
19×	`distribute-lft-out--`
10×	`pow1`
8×	`add-cube-cbrt` `log-div`
6×	`add-exp-log` `log-pow` `add-log-exp`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`difference-cubes` `associate--r+`
2×	`associate--l-` `sub-neg` `flip3-+` `diff-log` `rem-log-exp` `flip-+` `associate--r-`

Counts

4 → 157

Calls

4 calls:

170.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
96.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
95.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
71.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

391.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
197.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
346.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
178.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify75.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	600	3300
1	1795	3191
2	5002	3115

prune509.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (pow y 2)) (/ 1 y))
2.3b	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
2.9b	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
9.4b	(/ x (pow y 2))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
48×	`times-frac`
34×	`*-un-lft-identity`
22×	`add-cube-cbrt`
15×	`unpow-prod-down` `difference-of-squares`
10×	`add-exp-log`
8×	`associate-/r*` `add-log-exp`
7×	`unpow2` `sqr-pow`
6×	`associate-*r/` `frac-add` `add-cbrt-cube`
5×	`pow1` `log-div`
4×	`associate-+l+`
3×	`sub-neg` `log-prod` `flip3--` `div-exp` `frac-sub` `flip--` `associate-/l*` `distribute-lft-out--`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `diff-log` `rem-log-exp` `pow-exp` `clear-num` `sum-log` `log-pow`

Counts

4 → 115

Calls

4 calls:

47.0ms	(- (/ x (pow y 2)) (/ 1 y))
47.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
43.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
7.0ms	(/ x (pow y 2))

series158.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ x (pow y 2)) (/ 1 y))
38.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
63.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
25.0ms	(/ x (pow y 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	519	1121
1	1896	1014
2	5002	1005

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 18.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	18
1	27	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

212.0ms	5681×	body	80	valid
150.0ms	791×	body	1280	valid
105.0ms	817×	body	640	valid
98.0ms	3817×	body	80	nan
57.0ms	400×	body	1280	nan
45.0ms	398×	body	640	nan
43.0ms	463×	body	320	valid
17.0ms	215×	body	320	nan
15.0ms	248×	body	160	valid
7.0ms	131×	body	160	nan