Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

542×

body

valid

simplify76.0ms

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	5001	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* x (exp (* y y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* x (exp (* y y)))

simplify168.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	76	102
1	279	87
2	1028	87
3	4947	87
4	5001	87

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`pow1/3`
6×	`swap-sqr`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt (exp (* y y)))
41.0ms	(* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))
14.0ms	(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
8.0ms	(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (exp (* y y)))
9.0ms	(* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))
30.0ms	(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
24.0ms	(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	260	1057
1	1168	868
2	5001	750

prune572.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (* y y)) 2/3)
0.0b	(cbrt (exp (* y y)))
0.0b	(* (* x (pow (exp (* y y)) 2/3)) (cbrt (exp (* y y))))
0.0b	(* x (pow (exp (* y y)) 2/3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-sqr-sqrt`
13×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp`
9×	`add-cbrt-cube`
7×	`pow1` `unpow-prod-down`
6×	`cbrt-prod`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u`
3×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`exp-prod` `exp-to-pow` `pow1/3` `pow-prod-down`

Counts

4 → 85

Calls

4 calls:

2.0ms	(pow (exp (* y y)) 2/3)
1.0ms	(cbrt (exp (* y y)))
12.0ms	(* (* x (pow (exp (* y y)) 2/3)) (cbrt (exp (* y y))))
7.0ms	(* x (pow (exp (* y y)) 2/3))

series74.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (exp (* y y)) 2/3)
17.0ms	(cbrt (exp (* y y)))
9.0ms	(* (* x (pow (exp (* y y)) 2/3)) (cbrt (exp (* y y))))
31.0ms	(* x (pow (exp (* y y)) 2/3))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	274	595
1	1237	497
2	5002	452

prune549.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (pow (exp (* y y)) 2/3))
0.0b	(* x (pow (exp (* y y)) 1/3))
0.0b	(* (* (* x (pow (exp (* y y)) 1/3)) (sqrt (pow (exp (* y y)) 2/3))) (cbrt (exp (* y y))))
0.0b	(* (* x (pow (exp (* y y)) 1/3)) (sqrt (pow (exp (* y y)) 2/3)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
23×	`associate-r`
22×	`prod-exp` `add-cbrt-cube`
21×	`add-sqr-sqrt`
16×	`cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
11×	`pow1` `unpow-prod-down`
5×	`associate-l` `sqr-pow`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `rem-sqrt-square` `unpow1/3` `pow-exp` `*-commutative` `unswap-sqr`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 106

Calls

4 calls:

2.0ms	(sqrt (pow (exp (* y y)) 2/3))
7.0ms	(* x (pow (exp (* y y)) 1/3))
45.0ms	(* (* (* x (pow (exp (* y y)) 1/3)) (sqrt (pow (exp (* y y)) 2/3))) (cbrt (exp (* y y))))
15.0ms	(* (* x (pow (exp (* y y)) 1/3)) (sqrt (pow (exp (* y y)) 2/3)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (pow (exp (* y y)) 2/3))
17.0ms	(* x (pow (exp (* y y)) 1/3))
10.0ms	(* (* (* x (pow (exp (* y y)) 1/3)) (sqrt (pow (exp (* y y)) 2/3))) (cbrt (exp (* y y))))
28.0ms	(* (* x (pow (exp (* y y)) 1/3)) (sqrt (pow (exp (* y y)) 2/3)))

simplify71.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	375	1071
1	1813	904
2	5001	836

prune737.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes182.0ms

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	16	13
1	16	13

end0.0ms

sample771.0ms

Algorithm

intervals

Results

517.0ms

15987×

body

valid