Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

543×

body

valid

simplify73.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify158.0ms

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

prune53.0ms

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	(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)))
42.0ms	(* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))
12.0ms	(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
8.0ms	(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (exp (* y y)))
32.0ms	(* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))
92.0ms	(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
125.0ms	(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

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

prune245.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

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))

series231.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(cbrt (exp (* y y)))
32.0ms	(* (* x (pow (exp (* y y)) 2/3)) (cbrt (exp (* y y))))
93.0ms	(* x (pow (exp (* y y)) 2/3))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	234	496
1	1047	412
2	5002	381

prune176.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
90×	`prod-exp`
44×	`pow-exp`
30×	`unpow-prod-down`
28×	`pow-to-exp`
27×	`associate-r`
24×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
7×	`sqr-pow`
6×	`pow1` `cbrt-prod`
5×	`associate-l` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `*-commutative`
1×	`pow-pow` `pow-prod-down`

Counts

4 → 141

Calls

4 calls:

3.0ms	(pow (pow (exp (* y y)) 2/3) 2/3)
24.0ms	(* (* x (pow (pow (exp (* y y)) 2/3) 2/3)) (pow (cbrt (exp (* y y))) 2/3))
67.0ms	(* (* (* x (pow (pow (exp (* y y)) 2/3) 2/3)) (pow (cbrt (exp (* y y))) 2/3)) (cbrt (exp (* y y))))
16.0ms	(* x (pow (pow (exp (* y y)) 2/3) 2/3))

series433.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(pow (pow (exp (* y y)) 2/3) 2/3)
93.0ms	(* (* x (pow (pow (exp (* y y)) 2/3) 2/3)) (pow (cbrt (exp (* y y))) 2/3))
30.0ms	(* (* (* x (pow (pow (exp (* y y)) 2/3) 2/3)) (pow (cbrt (exp (* y y))) 2/3)) (cbrt (exp (* y y))))
104.0ms	(* x (pow (pow (exp (* y y)) 2/3) 2/3))

simplify77.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	482	1553
1	2213	1120
2	5001	1053

prune386.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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	15	14
1	15	14

end0.0ms

sample775.0ms

Algorithm

intervals

Results

511.0ms

16179×

body

valid