Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

prune7.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (/ 841.0 108.0) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* (/ 841.0 108.0) x)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(* (/ 841.0 108.0) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5003	218

prune53.0ms

Filtered

27 candidates to 35 candidates (-29.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (sqrt (/ 841.0 108.0)))
0.3b	(* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
26×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-l*`
17×	`associate-r`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*l/`

Counts

2 → 68

Calls

2 calls:

7.0ms	(* x (sqrt (/ 841.0 108.0)))
10.0ms	(* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0))))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (sqrt (/ 841.0 108.0)))
7.0ms	(* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4997	568
1	4997	568

prune116.0ms

Filtered

56 candidates to 74 candidates (-32.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0b

Counts

77 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cbrt (/ 841.0 108.0)))
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
75×	`add-sqr-sqrt`
52×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-r`
24×	`pow1`
20×	`associate-l`
19×	`add-exp-log`
17×	`cbrt-div`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`pow-prod-down`
10×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`associate-*r/`
6×	`frac-times` `pow1/3` `associate-*l/`
5×	`div-inv`
3×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

3 → 141

Calls

3 calls:

7.0ms	(* x (cbrt (/ 841.0 108.0)))
13.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
11.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series14.0ms

Counts

3 → 7

Calls

3 calls:

4.0ms	(* x (cbrt (/ 841.0 108.0)))
9.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	1453
1	4956	1453

prune284.0ms

Filtered

105 candidates to 148 candidates (-41.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Merged error: 0b

Counts

151 → 3

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample281.0ms

Algorithm

intervals

Results

199.0ms	7994×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze3.0ms

sample15.0ms

simplify3.0ms

prune7.0ms

localize5.0ms

rewrite7.0ms

series2.0ms

simplify50.0ms

prune53.0ms

localize7.0ms

rewrite20.0ms

series11.0ms

simplify67.0ms

prune116.0ms

localize9.0ms

rewrite37.0ms

series14.0ms

simplify75.0ms

prune284.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample281.0ms

Profiling