Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

506×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	21	3
3	48	3
4	133	3
5	437	3
6	1926	3
7	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (exp (* y y)))
0.0b	(exp (* y y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-r` `associate-l`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

2 → 28

Calls

2 calls:

12.0ms	(* x (exp (* y y)))
4.0ms	(exp (* y y))

series37.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (exp (* y y)))
10.0ms	(exp (* y y))

simplify49.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	89	130
1	321	114
2	1270	114
3	5001	114

prune62.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (pow (exp y) y))
0.0b	(pow (exp y) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-r`
6×	`add-exp-log`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `exp-prod` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

14.0ms	(* x (pow (exp y) y))
4.0ms	(pow (exp y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* x (pow (exp y) y))
31.0ms	(pow (exp y) y)

simplify99.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	148	205
1	591	190
2	2968	190
3	5001	189

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp y) (/ y 2))
0.0b	(pow (exp y) (/ y 2))
0.0b	(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))
0.0b	(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`prod-exp`
27×	`add-exp-log`
26×	`pow-unpow`
24×	`unpow-prod-down`
18×	`times-frac`
14×	`pow-to-exp` `pow-exp`
12×	`sqr-pow`
11×	`add-cbrt-cube`
10×	`associate-l` `unswap-sqr`
8×	`pow1` `pow-pow` `associate-r`
7×	`swap-sqr`
6×	`exp-prod`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`pow2` `pow-sqr` `pow-prod-up`

Counts

4 → 138

Calls

4 calls:

6.0ms	(pow (exp y) (/ y 2))
6.0ms	(pow (exp y) (/ y 2))
36.0ms	(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))
24.0ms	(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow (exp y) (/ y 2))
64.0ms	(pow (exp y) (/ y 2))
68.0ms	(* x (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))
50.0ms	(* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))

simplify83.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	353	941
1	1489	796
2	5002	759

prune354.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp y) (/ y 2))
0.0b	(* x (* (* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4))) (pow (exp y) (/ y 2))))
0.0b	(* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4)))
0.0b	(* (* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4))) (pow (exp y) (/ y 2)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

154×	`prod-exp`
104×	`add-exp-log`
63×	`pow-to-exp` `pow-exp`
38×	`add-sqr-sqrt`
25×	`unpow-prod-down`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
15×	`associate-r`
13×	`pow-unpow` `sqr-pow`
12×	`unswap-sqr`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`times-frac`
7×	`pow1` `swap-sqr`
4×	`pow-pow` `pow-prod-up` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`pow-prod-down` `pow-sqr`
1×	`pow2` `div-inv`

Counts

4 → 182

Calls

4 calls:

5.0ms	(pow (exp y) (/ y 2))
100.0ms	(* x (* (* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4))) (pow (exp y) (/ y 2))))
23.0ms	(* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4)))
47.0ms	(* (* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4))) (pow (exp y) (/ y 2)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (exp y) (/ y 2))
117.0ms	(* x (* (* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4))) (pow (exp y) (/ y 2))))
53.0ms	(* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4)))
94.0ms	(* (* (pow (exp y) (/ y 4)) (pow (exp y) (/ y 4))) (pow (exp y) (/ y 2)))

simplify74.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	651	1514
1	2259	987
2	5003	937

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes80.0ms

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

sample593.0ms

Algorithm

intervals

Results

269.0ms

15906×

body

valid