Details

analyze49.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	3×	body	80	nan
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt x))

series7.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* y (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4988	172
1	4988	172

prune46.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
8.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt x))
14.0ms	(sqrt (sqrt x))
10.0ms	(* y (sqrt (sqrt x)))
9.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5046	626

prune86.0ms

Filtered

57 candidates to 100 candidates (-75.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.5b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
48×	`cbrt-prod`
36×	`add-sqr-sqrt` `associate-r`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `unswap-sqr` `sqr-pow`
2×	`pow1/2` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

6.0ms	(* y (sqrt (sqrt x)))
12.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
4.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms	(pow (sqrt (sqrt x)) 3)

series54.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* y (sqrt (sqrt x)))
7.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
17.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
19.0ms	(pow (sqrt (sqrt x)) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4902	1040
1	4902	1040

prune131.0ms

Filtered

73 candidates to 153 candidates (-109.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	152	8	160

Merged error: 0b

Counts

160 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x)))))
0.3b	(* (* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt x))))
0.3b	(* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

88×	`sqrt-prod`
47×	`add-sqr-sqrt`
37×	`pow1` `sqrt-pow1`
25×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1/2`
14×	`pow-prod-down`
13×	`associate-l`
12×	`unswap-sqr`
10×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow3` `*-commutative`
2×	`rem-sqrt-square`
1×	`sqrt-unprod`

Counts

4 → 129

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
12.0ms	(* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x)))))
18.0ms	(* (* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt x))))
13.0ms	(* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (sqrt x))
20.0ms	(* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x)))))
7.0ms	(* (* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt x))))
18.0ms	(* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))

simplify61.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4892	1107
1	4892	1107

prune109.0ms

Filtered

75 candidates to 141 candidates (-88.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	2	2	4
Picked	1	0	1
Done	0	3	3
Total	143	6	149

Merged error: 0b

Counts

149 → 6

regimes143.0ms

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	9	8
1	9	8

end0.0ms

analyze44.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

sample371.0ms

Algorithm

intervals

Results

233.0ms	7999×	body	80	valid
4.0ms	139×	body	80	nan
2.0ms	67×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze49.0ms

sample15.0ms

simplify3.0ms

prune5.0ms

localize5.0ms

rewrite5.0ms

series7.0ms

simplify53.0ms

prune46.0ms

localize8.0ms

rewrite20.0ms

series48.0ms

simplify53.0ms

prune86.0ms

localize11.0ms

rewrite31.0ms

series54.0ms

simplify59.0ms

prune131.0ms

localize10.0ms

rewrite50.0ms

series59.0ms

simplify61.0ms

prune109.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze44.0ms

sample371.0ms

Profiling