Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

22.0ms

(/ (- x y) (+ x y))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ (- x y) (+ x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (- x y) (+ x y))))
0.0b	(exp (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

36.0ms	(log (exp (/ (- x y) (+ x y))))
32.0ms	(exp (/ (- x y) (+ x y)))
25.0ms	(/ (- x y) (+ x y))

series207.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(log (exp (/ (- x y) (+ x y))))
75.0ms	(exp (/ (- x y) (+ x y)))
66.0ms	(/ (- x y) (+ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	258	670
1	646	633
2	2052	629
3	5001	623

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp (/ x (+ x y))) (exp (/ y (+ x y)))))
0.0b	(/ y (+ x y))
0.0b	(/ x (+ x y))
0.0b	(/ (exp (/ x (+ x y))) (exp (/ y (+ x y))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
66×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`exp-prod`
16×	`distribute-lft-out`
14×	`pow-div`
13×	`log-prod`
11×	`associate-/r*`
10×	`add-cbrt-cube`
9×	`add-exp-log` `associate-/l*`
8×	`log-pow`
5×	`pow1`
4×	`div-exp` `associate-/r/` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`flip3-+` `rem-log-exp` `flip-+`
1×	`log-div`

Counts

4 → 131

Calls

4 calls:

49.0ms	(log (/ (exp (/ x (+ x y))) (exp (/ y (+ x y)))))
12.0ms	(/ y (+ x y))
11.0ms	(/ x (+ x y))
66.0ms	(/ (exp (/ x (+ x y))) (exp (/ y (+ x y))))

series279.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(log (/ (exp (/ x (+ x y))) (exp (/ y (+ x y)))))
40.0ms	(/ y (+ x y))
42.0ms	(/ x (+ x y))
97.0ms	(/ (exp (/ x (+ x y))) (exp (/ y (+ x y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	339	1006
1	1041	929
2	2883	907
3	5001	906

prune338.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (pow E (/ (- x y) (+ x y))))
0.0b	(pow E (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
40×	`times-frac`
27×	`add-cube-cbrt`
26×	`pow-unpow`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`add-exp-log`
7×	`log-prod`
6×	`unpow-prod-down`
5×	`add-cbrt-cube` `associate-/l*`
4×	`pow1` `rem-log-exp` `pow-exp` `associate-/r*` `associate-/r/`
3×	`div-sub` `add-log-exp`
2×	`pow-to-exp` `e-exp-1` `flip3-+` `flip-+` `div-inv` `associate-/l/` `pow-sub` `sqr-pow`
1×	`cbrt-undiv` `log-div` `flip3--` `pow-pow` `frac-2neg` `div-exp` `clear-num` `log-pow` `flip--`

Counts

3 → 108

Calls

3 calls:

4.0ms	(log (pow E (/ (- x y) (+ x y))))
11.0ms	(pow E (/ (- x y) (+ x y)))
21.0ms	(/ (- x y) (+ x y))

series264.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(log (pow E (/ (- x y) (+ x y))))
99.0ms	(pow E (/ (- x y) (+ x y)))
65.0ms	(/ (- x y) (+ x y))

simplify35.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	342	678
1	1198	641
2	5001	640

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample294.0ms

Algorithm

intervals

Results

134.0ms

8000×

body

valid