Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

346×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	40	3
3	83	3
4	201	3
5	572	3
6	3029	3
7	5001	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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* (* x y) y))
0.1b	(* (* x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

2.0ms	(exp (* (* x y) y))
5.0ms	(* (* x y) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(exp (* (* x y) y))
32.0ms	(* (* x y) y)

simplify95.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	131	125
1	614	104
2	3052	104
3	5001	104

prune52.0ms

Filtered

34 candidates to 19 candidates (55.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (exp (* x (pow y 2)))))
0.0b	(exp (* x (pow y 2)))
1.3b	(log (exp (* x (pow y 2))))
9.9b	(* x (pow y 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `exp-prod`
8×	`associate-r` `add-log-exp`
6×	`pow1` `log-prod` `log-pow` `add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`exp-to-pow` `associate-l` `exp-sum` `prod-exp`
2×	`rem-exp-log` `unpow2` `sqr-pow`
1×	`pow-to-exp` `rem-log-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 68

Calls

4 calls:

3.0ms	(exp (log (exp (* x (pow y 2)))))
2.0ms	(exp (* x (pow y 2)))
2.0ms	(log (exp (* x (pow y 2))))
6.0ms	(* x (pow y 2))

series121.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(exp (log (exp (* x (pow y 2)))))
29.0ms	(exp (* x (pow y 2)))
29.0ms	(log (exp (* x (pow y 2))))
31.0ms	(* x (pow y 2))

simplify131.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	174	323
1	634	280
2	2956	270
3	5001	263

prune165.0ms

Filtered

80 candidates to 50 candidates (62.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x (pow y 2)))
0.0b	(pow (cbrt (exp (* x (pow y 2)))) 2)
9.9b	(* x (pow y 2))
9.9b	(* x (pow y 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-exp-log`
14×	`unpow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp` `add-log-exp`
5×	`pow1` `unpow2` `sqr-pow`
3×	`cbrt-prod` `pow-to-exp` `pow-unpow` `pow-exp`
2×	`pow-pow` `*-commutative` `cbrt-unprod`
1×	`exp-prod` `exp-to-pow` `pow1/3` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

2.0ms	(exp (* x (pow y 2)))
3.0ms	(pow (cbrt (exp (* x (pow y 2)))) 2)
5.0ms	(* x (pow y 2))
6.0ms	(* x (pow y 2))

series186.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(exp (* x (pow y 2)))
97.0ms	(pow (cbrt (exp (* x (pow y 2)))) 2)
28.0ms	(* x (pow y 2))
29.0ms	(* x (pow y 2))

simplify176.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (170.0ms)

Iter	Nodes	Cost
0	234	432
1	896	371
2	4485	359
3	5001	349

prune234.0ms

Filtered

98 candidates to 60 candidates (61.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cbrt (cbrt (exp (* x (pow y 2))))) 4)
9.9b	(* x (pow y 2))
9.9b	(* x (pow y 2))
9.9b	(* x (pow y 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
24×	`associate-r`
21×	`unpow-prod-down`
20×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-cbrt-cube`
9×	`cbrt-prod` `associate-l` `prod-exp`
7×	`sqr-pow`
6×	`unpow2`
5×	`pow1`
4×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`pow-unpow` `*-commutative` `cbrt-unprod`
2×	`pow-pow`
1×	`pow1/3`

Counts

4 → 105

Calls

4 calls:

4.0ms	(pow (cbrt (cbrt (exp (* x (pow y 2))))) 4)
5.0ms	(* x (pow y 2))
6.0ms	(* x (pow y 2))
5.0ms	(* x (pow y 2))

series200.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(pow (cbrt (cbrt (exp (* x (pow y 2))))) 4)
28.0ms	(* x (pow y 2))
34.0ms	(* x (pow y 2))
28.0ms	(* x (pow y 2))

simplify158.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	231	560
1	821	500
2	3884	488
3	5001	488

prune365.0ms

Filtered

117 candidates to 72 candidates (61.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes28.0ms

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	9	5
1	9	5

end0.0ms

sample365.0ms

Algorithm

intervals

Results

204.0ms

10702×

body

valid