Details

sample37.0ms

Algorithm

intervals

Results

6.0ms	172×	body	80	valid
4.0ms	24×	body	1280	valid
4.0ms	29×	body	640	valid
3.0ms	102×	body	80	nan
2.0ms	23×	body	320	valid
2.0ms	12×	body	1280	nan
1.0ms	12×	body	640	nan
1.0ms	7×	body	320	nan
0.0ms	8×	body	160	valid
0.0ms	4×	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: 20.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 85

Calls

3 calls:

22.0ms	(/ (- x y) (- 1.0 y))
33.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series158.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- x y) (- 1.0 y))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
74.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	397	707
1	1115	663
2	5001	658

prune257.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
38.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
34.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
46.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
122.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
118.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	228	854
1	533	780
2	2128	776
3	5001	768

prune289.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times` `log-div` `sqrt-div`
27×	`pow1`
22×	`add-sqr-sqrt`
20×	`log-pow`
16×	`sqrt-pow1`
14×	`associate-*l/`
13×	`log-prod` `*-un-lft-identity`
9×	`pow1/3` `pow-prod-up`
8×	`associate-*r/` `add-log-exp`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`add-exp-log` `pow-plus` `difference-of-squares`
5×	`pow-prod-down`
4×	`add-cbrt-cube`
3×	`times-frac` `pow-sqr` `distribute-lft-out--`
2×	`pow2` `sub-neg` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`
1×	`pow3`

Counts

4 → 109

Calls

4 calls:

33.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
34.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
331.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
117.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
122.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

simplify77.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	420	2414
1	736	2301
2	2357	1968
3	5002	1964

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(+ (- 1.0 (/ x (- 1.0 y))) (/ y (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (+ (- 1.0 (/ x (- 1.0 y))) (/ y (- 1.0 y)))))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
17×	`log-prod`
11×	`sqrt-prod` `add-log-exp`
8×	`pow1` `add-cube-cbrt`
6×	`add-exp-log` `log-div` `sqrt-div` `log-pow`
4×	`flip3--` `frac-add` `add-cbrt-cube` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
2×	`sub-neg` `associate-+l+` `sqrt-pow1` `flip3-+` `times-frac` `pow1/2` `diff-log` `rem-log-exp` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `div-sub` `associate--r-`

Counts

4 → 80

Calls

4 calls:

34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
160.0ms	(+ (- 1.0 (/ x (- 1.0 y))) (/ y (- 1.0 y)))
33.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
107.0ms	(log (sqrt (+ (- 1.0 (/ x (- 1.0 y))) (/ y (- 1.0 y)))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
50.0ms	(+ (- 1.0 (/ x (- 1.0 y))) (/ y (- 1.0 y)))
117.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
119.0ms	(log (sqrt (+ (- 1.0 (/ x (- 1.0 y))) (/ y (- 1.0 y)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	391	953
1	1041	875
2	4858	862
3	5001	862

prune317.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes149.0ms

Accuracy

92.7% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 18.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	39
1	36	39

end0.0ms

sample1.0s

Algorithm

intervals

Results

208.0ms	5610×	body	80	valid
149.0ms	820×	body	1280	valid
110.0ms	804×	body	640	valid
93.0ms	3697×	body	80	nan
53.0ms	364×	body	1280	nan
48.0ms	499×	body	320	valid
44.0ms	394×	body	640	nan
16.0ms	267×	body	160	valid
16.0ms	202×	body	320	nan
5.0ms	92×	body	160	nan