Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

528×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5100	6

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

4.0ms	(pow (exp y) y)
6.0ms	(* x (pow (exp y) y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(pow (exp y) y)
14.0ms	(* x (pow (exp y) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5033	346

prune50.0ms

Filtered

31 candidates to 51 candidates (-64.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (exp y)) y)
0.0b	(pow (sqrt (exp y)) y)
0.0b	(sqrt (exp y))
0.0b	(sqrt (exp y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
12×	`unpow-prod-down` `exp-prod` `pow-pow` `sqrt-prod`
10×	`pow1`
6×	`add-exp-log` `pow-unpow`
4×	`pow1/2` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

5.0ms	(pow (sqrt (exp y)) y)
4.0ms	(pow (sqrt (exp y)) y)
2.0ms	(sqrt (exp y))
2.0ms	(sqrt (exp y))

series15.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow (sqrt (exp y)) y)
5.0ms	(pow (sqrt (exp y)) y)
3.0ms	(sqrt (exp y))
3.0ms	(sqrt (exp y))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5306	568

prune95.0ms

Filtered

60 candidates to 96 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
21×	`prod-exp`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
10×	`associate-r`
9×	`pow-to-exp` `pow-pow` `pow-exp` `sqrt-prod` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
7×	`exp-prod`
6×	`pow-unpow`
5×	`add-log-exp`
3×	`cbrt-unprod` `sqr-pow`
2×	`pow1/2`
1×	`rem-sqrt-square` `exp-to-pow` `associate-l` `*-commutative` `sqrt-pow2`

Counts

4 → 94

Calls

4 calls:

10.0ms	(* (* x (pow (exp (* y 1/2)) y)) (pow (sqrt (exp y)) y))
4.0ms	(pow (sqrt (exp y)) y)
4.0ms	(pow (exp (* y 1/2)) y)
2.0ms	(sqrt (exp y))

series50.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x (pow (exp (* y 1/2)) y)) (pow (sqrt (exp y)) y))
5.0ms	(pow (sqrt (exp y)) y)
4.0ms	(pow (exp (* y 1/2)) y)
3.0ms	(sqrt (exp y))

simplify108.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4923	733
1	4923	733

prune118.0ms

Filtered

61 candidates to 106 candidates (-73.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Merged error: 0b

Counts

109 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(* (cbrt (sqrt (exp y))) (cbrt (sqrt (exp y))))
3.0ms	(cbrt (sqrt (exp y)))
3.0ms	(cbrt (sqrt (exp y)))
3.0ms	(cbrt (sqrt (exp y)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (cbrt (sqrt (exp y))) (cbrt (sqrt (exp y))))
19.0ms	(cbrt (sqrt (exp y)))
17.0ms	(cbrt (sqrt (exp y)))
17.0ms	(cbrt (sqrt (exp y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4910	811
1	4910	811

prune91.0ms

Filtered

60 candidates to 110 candidates (-83.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Merged error: 0b

Counts

115 → 5

regimes94.0ms

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	14	14
1	14	14

end0.0ms

sample853.0ms

Algorithm

intervals

Results

402.0ms

16088×

body

valid

Details

sample34.0ms

simplify48.0ms

prune8.0ms

localize6.0ms

rewrite11.0ms

series19.0ms

simplify45.0ms

prune50.0ms

localize8.0ms

rewrite16.0ms

series15.0ms

simplify55.0ms

prune95.0ms

localize13.0ms

rewrite24.0ms

series50.0ms

simplify108.0ms

prune118.0ms

localize16.0ms

rewrite22.0ms

series70.0ms

simplify54.0ms

prune91.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample853.0ms

Profiling