Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

469×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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 2 expressions with local error:

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

rewrite6.0ms

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:

4.0ms	(* x (exp (* y y)))
1.0ms	(exp (* y y))

series36.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* x (exp (* y y)))
9.0ms	(exp (* y y))

simplify42.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

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

prune63.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-pow1`
26×	`add-sqr-sqrt`
24×	`pow1`
20×	`add-log-exp`
18×	`sqrt-prod`
14×	`exp-prod` `exp-to-pow`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down`
9×	`associate-l` `pow-prod-up`
8×	`pow1/2` `swap-sqr`
7×	`associate-r` `pow-sqr`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod`
2×	`*-commutative` `rem-exp-log`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 100

Calls

4 calls:

10.0ms	(* (sqrt (exp (* y y))) (sqrt (exp (* y y))))
22.0ms	(* x (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))))
1.0ms	(exp (* y y))
1.0ms	(exp (* y y))

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (sqrt (exp (* y y))) (sqrt (exp (* y y))))
26.0ms	(* x (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))))
9.0ms	(exp (* y y))
13.0ms	(exp (* y y))

simplify35.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	183	470
1	801	393
2	5002	366

prune159.0ms

Filtered

112 candidates to 57 candidates (50.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

1.0ms	(exp (* y y))
1.0ms	(exp (* y y))
6.0ms	(* x (sqrt (exp (* y y))))

series64.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(exp (* y y))
14.0ms	(exp (* y y))
41.0ms	(* x (sqrt (exp (* y y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	104	210
1	378	194
2	1460	192
3	5002	192

prune116.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (sqrt (exp (* y y))))
0.0b	(cbrt (sqrt (exp (* y y))))
0.0b	(cbrt (sqrt (exp (* y y))))
0.0b	(pow (cbrt (sqrt (exp (* y y)))) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (sqrt (exp (* y y))))
1.0ms	(cbrt (sqrt (exp (* y y))))
1.0ms	(cbrt (sqrt (exp (* y y))))
3.0ms	(pow (cbrt (sqrt (exp (* y y)))) 4)

series440.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sqrt (exp (* y y))))
106.0ms	(cbrt (sqrt (exp (* y y))))
101.0ms	(cbrt (sqrt (exp (* y y))))
131.0ms	(pow (cbrt (sqrt (exp (* y y)))) 4)

simplify55.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	140	569
1	421	523
2	1320	505
3	5001	501

prune198.0ms

Filtered

78 candidates to 53 candidates (67.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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	8
1	8	8

end0.0ms

sample511.0ms

Algorithm

intervals

Results

283.0ms

15707×

body

valid