Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:

20.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (40.0ms)

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

prune73.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

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:

30.0ms	(exp (/ (- x y) (+ x y)))
34.0ms	(log (exp (/ (- x y) (+ x y))))
21.0ms	(/ (- x y) (+ x y))

series202.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(exp (/ (- x y) (+ x y)))
63.0ms	(log (exp (/ (- x y) (+ x y))))
64.0ms	(/ (- x y) (+ x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	257	670
1	645	633
2	2051	629
3	5001	623

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-pow`
54×	`sqrt-pow1`
52×	`exp-prod`
50×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`log-prod`
10×	`add-exp-log` `associate-/l*`
8×	`pow1` `associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`sqrt-prod`
4×	`flip3-+` `div-sub` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `pow1/2` `exp-diff` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip--`

Counts

4 → 180

Calls

4 calls:

35.0ms	(log (sqrt (exp (/ (- x y) (+ x y)))))
37.0ms	(log (sqrt (exp (/ (- x y) (+ x y)))))
20.0ms	(/ (- x y) (+ x y))
23.0ms	(/ (- x y) (+ x y))

series409.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(log (sqrt (exp (/ (- x y) (+ x y)))))
139.0ms	(log (sqrt (exp (/ (- x y) (+ x y)))))
63.0ms	(/ (- x y) (+ x y))
65.0ms	(/ (- x y) (+ x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	268	1160
1	641	1092
2	1999	1088
3	5002	1076

prune505.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

129×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
80×	`times-frac`
54×	`sqrt-pow1`
52×	`exp-prod`
49×	`add-cube-cbrt`
29×	`log-pow`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log`
8×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
7×	`pow1`
6×	`log-prod` `sqrt-prod`
4×	`flip3-+` `div-sub` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `pow1/2` `exp-diff` `sqrt-div` `div-exp` `clear-num` `flip--`
1×	`rem-sqrt-square` `log-div` `rem-log-exp`

Counts

4 → 176

Calls

4 calls:

39.0ms	(sqrt (exp (/ (- x y) (+ x y))))
22.0ms	(/ (- x y) (+ x y))
21.0ms	(/ (- x y) (+ x y))
37.0ms	(log (sqrt (exp (/ (- x y) (+ x y)))))

series413.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(sqrt (exp (/ (- x y) (+ x y))))
64.0ms	(/ (- x y) (+ x y))
64.0ms	(/ (- x y) (+ x y))
141.0ms	(log (sqrt (exp (/ (- x y) (+ x y)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	317	1096
1	816	1043
2	2597	1037
3	5001	1028

prune408.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes37.0ms

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	18	11
1	18	11

end0.0ms

sample310.0ms

Algorithm

intervals

Results

137.0ms

8000×

body

valid