Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite13.0ms

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:

11.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (42.0ms)

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

prune83.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))

rewrite60.0ms

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:

24.0ms	(log (exp (/ (- x y) (+ x y))))
19.0ms	(exp (/ (- x y) (+ x y)))
11.0ms	(/ (- x y) (+ x y))

series200.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(log (exp (/ (- x y) (+ x y))))
75.0ms	(exp (/ (- x y) (+ x y)))
61.0ms	(/ (- x y) (+ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (41.0ms)

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

prune241.0ms

Filtered

129 candidates to 86 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b	(pow (/ (- x y) (+ x y)) 3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`pow1` `associate-/r*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

3 → 186

Calls

3 calls:

14.0ms	(/ (- x y) (+ x y))
14.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
13.0ms	(pow (/ (- x y) (+ x y)) 3)

series220.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- x y) (+ x y))
87.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
73.0ms	(pow (/ (- x y) (+ x y)) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	502	1403
1	2181	1310
2	5001	1292

prune233.0ms

Filtered

195 candidates to 86 candidates (44.1%)

Pruning

5 alts after pruning (3 fresh and 2 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))
0.5b	(* (sqrt (exp (/ (- x y) (+ x y)))) (sqrt (exp (/ (- x y) (+ x y)))))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

613×	`*-un-lft-identity`
339×	`sqrt-pow1`
330×	`exp-prod`
320×	`times-frac`
242×	`add-sqr-sqrt`
129×	`add-cube-cbrt`
105×	`distribute-lft-out`
90×	`distribute-lft-out--`
59×	`pow-prod-down`
53×	`pow-prod-up`
51×	`pow-sqr`
50×	`difference-of-squares`
21×	`sqrt-prod`
20×	`pow1`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3-+` `pow1/2` `flip-+` `div-inv`
8×	`swap-sqr` `associate-/r*`
7×	`div-sub`
6×	`associate-r` `associate-l`
5×	`exp-diff` `sqrt-div`
4×	`associate-/l/` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 336

Calls

4 calls:

25.0ms	(sqrt (exp (/ (- x y) (+ x y))))
11.0ms	(/ (- x y) (+ x y))
13.0ms	(/ (- x y) (+ x y))
195.0ms	(* (sqrt (exp (/ (- x y) (+ x y)))) (sqrt (exp (/ (- x y) (+ x y)))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (exp (/ (- x y) (+ x y))))
62.0ms	(/ (- x y) (+ x y))
63.0ms	(/ (- x y) (+ x y))
72.0ms	(* (sqrt (exp (/ (- x y) (+ x y)))) (sqrt (exp (/ (- x y) (+ x y)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

348 → 348

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	508	2185
1	2034	2056
2	5001	1718

prune540.0ms

Filtered

348 candidates to 154 candidates (44.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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	8	5
1	8	5

end0.0ms

sample265.0ms

Algorithm

intervals

Results

143.0ms

8000×

body

valid