Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify8.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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))

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (45.0ms)

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

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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:

31.0ms	(exp (/ (- x y) (+ x y)))
23.0ms	(/ (- x y) (+ x y))
33.0ms	(log (exp (/ (- x y) (+ x y))))

series205.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(exp (/ (- x y) (+ x y)))
64.0ms	(/ (- x y) (+ x y))
65.0ms	(log (exp (/ (- 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

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
34×	`exp-prod`
22×	`add-cube-cbrt`
21×	`distribute-lft-out--`
18×	`log-pow`
16×	`distribute-lft-out`
14×	`associate-/r/`
12×	`difference-of-squares`
9×	`distribute-rgt-out--` `add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `log-prod`
4×	`exp-sum` `associate-/r*`
3×	`sub-neg` `associate-/l*`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `frac-sub` `flip--` `sub-div`

Counts

4 → 122

Calls

4 calls:

11.0ms	(/ x (+ x y))
185.0ms	(exp (- (/ x (+ x y)) (/ y (+ x y))))
193.0ms	(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
72.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x y))
88.0ms	(exp (- (/ x (+ x y)) (/ y (+ x y))))
76.0ms	(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
74.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	299	747
1	806	698
2	2010	698
3	5002	698

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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:

19.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
21.0ms	(/ (- x y) (+ x y))
24.0ms	(pow (/ (- x y) (+ x y)) 3)

series233.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
67.0ms	(/ (- x y) (+ x y))
75.0ms	(pow (/ (- x y) (+ x y)) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (51.0ms)

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

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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	6	3
1	6	3

end0.0ms

sample310.0ms

Algorithm

intervals

Results

146.0ms

8000×

body

valid