Details

analyze43.0ms

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	5×	body	80	nan
0.0ms	1×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	225	8
1	225	8

prune6.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (- 1.0 x) (* y (sqrt x)))
6.0ms	(* y (sqrt x))

simplify40.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4928	360
1	4928	360

prune65.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* 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)))
9.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(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 (47.0ms)

Iter	Nodes	Cost
0	5020	626

prune101.0ms

Filtered

56 candidates to 100 candidates (-78.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite32.0ms

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)

series50.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* y (sqrt (sqrt x)))
7.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
14.0ms	(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 (48.0ms)

Iter	Nodes	Cost
0	4879	1054
1	4879	1054

prune135.0ms

Filtered

75 candidates to 153 candidates (-104.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	157	5	162

Merged error: 0.0b

Counts

162 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
0.6b	(cbrt (pow x 3/4))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`sqrt-prod`
19×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`cbrt-prod`
13×	`pow1`
11×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`unpow-prod-down`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `sqr-pow`
1×	`pow1/3`

Counts

4 → 85

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
9.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
2.0ms	(cbrt (pow x 3/4))

series59.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (sqrt x))
10.0ms	(* y (sqrt (sqrt x)))
14.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
20.0ms	(cbrt (pow x 3/4))

simplify30.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5300	778

prune118.0ms

Filtered

64 candidates to 97 candidates (-51.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

regimes136.0ms

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	19	8
1	19	8

end0.0ms

sample363.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
3.0ms	117×	body	80	nan
2.0ms	77×	body	80	invalid

Details

analyze43.0ms

sample15.0ms

simplify7.0ms

prune6.0ms

localize9.0ms

rewrite11.0ms

series13.0ms

simplify40.0ms

prune65.0ms

localize8.0ms

rewrite20.0ms

series47.0ms

simplify53.0ms

prune101.0ms

localize11.0ms

rewrite32.0ms

series50.0ms

simplify59.0ms

prune135.0ms

localize15.0ms

rewrite21.0ms

series59.0ms

simplify30.0ms

prune118.0ms

regimes136.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample363.0ms

Profiling