Details

analyze258.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

sample63.0ms

Algorithm

intervals

Results

19.0ms	107×	body	2560	nan
12.0ms	81×	body	1280	nan
10.0ms	256×	body	80	valid
6.0ms	51×	body	640	nan
4.0ms	15×	body	160	nan
2.0ms	20×	body	320	nan
0.0ms	5×	body	80	nan

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5257	9

prune3.0ms

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: 33.4b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ x (sqrt (- (* x x) 1.0))))
0.0b	(- (* x x) 1.0)
0.0b	(+ x (sqrt (- (* x x) 1.0)))
31.1b	(sqrt (- (* x x) 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-prod` `sqrt-prod` `add-cbrt-cube`
2×	`log-div` `flip3--` `flip3-+` `sqrt-div` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `sum-log` `log-pow`

Counts

4 → 55

Calls

4 calls:

6.0ms	(log (+ x (sqrt (- (* x x) 1.0))))
4.0ms	(- (* x x) 1.0)
6.0ms	(+ x (sqrt (- (* x x) 1.0)))
4.0ms	(sqrt (- (* x x) 1.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(log (+ x (sqrt (- (* x x) 1.0))))
4.0ms	(- (* x x) 1.0)
5.0ms	(+ x (sqrt (- (* x x) 1.0)))
4.0ms	(sqrt (- (* x x) 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4922	726
1	4922	726

prune102.0ms

Filtered

54 candidates to 67 candidates (-24.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Merged error: 0b

Counts

68 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
0.0b	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.4b	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`sqrt-prod`
12×	`*-un-lft-identity` `sqrt-div`
9×	`associate-r`
8×	`pow1` `add-cube-cbrt`
7×	`associate-l`
6×	`add-exp-log`
5×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`frac-times` `unswap-sqr`
3×	`log-prod` `flip3--` `pow-prod-down` `flip--`
2×	`log-div` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `difference-of-squares`
1×	`+-commutative` `sqrt-unprod` `rem-log-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

2.0ms	(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
3.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
13.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series32.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
8.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
11.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4963	1255
1	4963	1255

prune162.0ms

Filtered

57 candidates to 76 candidates (-33.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	14
1	23	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

565.0ms	3027×	body	2560	nan
366.0ms	2463×	body	1280	nan
314.0ms	8000×	body	80	valid
154.0ms	1299×	body	640	nan
56.0ms	602×	body	320	nan
19.0ms	305×	body	160	nan
9.0ms	298×	body	80	nan

Details

analyze258.0ms

sample63.0ms

simplify62.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series24.0ms

simplify54.0ms

prune102.0ms

localize12.0ms

rewrite20.0ms

series32.0ms

simplify44.0ms

prune162.0ms

regimes83.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling