Details

analyze38.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	112×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5100	6

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(* x (pow (exp y) y))
3.0ms	(pow (exp y) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* x (pow (exp y) y))
4.0ms	(pow (exp y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5005	346

prune47.0ms

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	1	0	1
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-exp-log` `unpow-prod-down`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-prod`
13×	`associate-r`
11×	`associate-l` `add-cbrt-cube`
10×	`pow-pow` `prod-exp`
9×	`pow1`
6×	`pow-unpow` `exp-prod`
5×	`sqr-pow`
4×	`pow-to-exp` `sqrt-pow1` `pow-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`*-commutative`
1×	`pow1/2` `pow-prod-down` `sqrt-pow2`

Counts

4 → 101

Calls

4 calls:

3.0ms	(pow (exp y) y)
6.0ms	(* (pow (sqrt (exp y)) y) x)
4.0ms	(pow (sqrt (exp y)) y)
10.0ms	(* (* (pow (sqrt (exp y)) y) x) (sqrt (pow (exp y) y)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp y) y)
19.0ms	(* (pow (sqrt (exp y)) y) x)
4.0ms	(pow (sqrt (exp y)) y)
34.0ms	(* (* (pow (sqrt (exp y)) y) x) (sqrt (pow (exp y) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5082	926

prune91.0ms

Filtered

69 candidates to 113 candidates (-63.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
22.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune91.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes73.0ms

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	6	6
1	6	6

end0.0ms

sample474.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
97.0ms	4168×	body	80	invalid

Details

analyze38.0ms

sample17.0ms

simplify57.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series17.0ms

simplify57.0ms

prune47.0ms

localize14.0ms

rewrite26.0ms

series61.0ms

simplify71.0ms

prune91.0ms

localize10.0ms

rewrite11.0ms

series92.0ms

simplify48.0ms

prune91.0ms

regimes73.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample474.0ms

Profiling