Details

sample35.0ms

Algorithm

intervals

Results

7.0ms	193×	body	80	valid
4.0ms	28×	body	640	valid
3.0ms	16×	body	1280	valid
3.0ms	114×	body	80	nan
2.0ms	14×	body	1280	nan
1.0ms	14×	body	320	valid
1.0ms	10×	body	640	nan
1.0ms	7×	body	320	nan
0.0ms	5×	body	160	valid
0.0ms	3×	body	160	nan

simplify19.0ms

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: 15.9b

localize8.0ms

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))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite126.0ms

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:

35.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms	(/ (- x y) (- 1.0 y))
31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
34.0ms	(/ (- x y) (- 1.0 y))
49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
77.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

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

prune272.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite155.0ms

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:

33.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
20.0ms	(/ (- x y) (- 1.0 y))
63.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
33.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
33.0ms	(/ (- x y) (- 1.0 y))
113.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (43.0ms)

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

prune368.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite85.0ms

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:

10.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
11.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
30.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
453.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
45.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
76.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (64.0ms)

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

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (exp 1.0) (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
4.5b	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
6.2b	(/ x (pow y 2))
16.3b	(log (/ (exp 1.0) (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`log-prod`
12×	`add-exp-log` `unpow-prod-down`
11×	`associate-/r*`
10×	`associate-/r/`
9×	`associate-*r/` `frac-add`
8×	`add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `div-exp`
4×	`associate-+l+` `unpow2` `sqr-pow`
3×	`flip3--` `flip3-+` `frac-sub` `flip--` `flip-+` `div-inv`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `rem-log-exp` `clear-num`
1×	`+-commutative` `pow-to-exp` `log-div` `pow-exp` `sum-log` `log-pow`

Counts

4 → 128

Calls

4 calls:

82.0ms	(/ (exp 1.0) (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
49.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
7.0ms	(/ x (pow y 2))
45.0ms	(log (/ (exp 1.0) (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (exp 1.0) (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
29.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
25.0ms	(/ x (pow y 2))
104.0ms	(log (/ (exp 1.0) (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	606	1615
1	2450	1496
2	5002	1487

prune375.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

99.2% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 18.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	20
1	28	20

end0.0ms

sample1.0s

Algorithm

intervals

Results

202.0ms	5646×	body	80	valid
150.0ms	831×	body	1280	valid
110.0ms	841×	body	640	valid
90.0ms	3718×	body	80	nan
50.0ms	346×	body	1280	nan
43.0ms	460×	body	320	valid
39.0ms	355×	body	640	nan
15.0ms	196×	body	320	nan
13.0ms	222×	body	160	valid
6.0ms	130×	body	160	nan