Details

analyze158.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	37×	body	80	nan
1.0ms	15×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune8.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* y (sqrt z)))
7.0ms	(* y (sqrt z))

simplify36.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5057	299

prune69.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite23.0ms

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (sqrt z))
15.0ms	(sqrt (sqrt z))
11.0ms	(* y (sqrt (sqrt z)))
7.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5019	622

prune103.0ms

Filtered

56 candidates to 100 candidates (-78.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	6	0	6
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0b

Counts

108 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

99×	`sqrt-prod`
49×	`add-sqr-sqrt`
42×	`sqrt-pow1`
38×	`pow1`
25×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-cube-cbrt` `*-un-lft-identity`
16×	`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×	`rem-sqrt-square` `pow3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 135

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt z)))
13.0ms	(* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z)))))
13.0ms	(* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))
18.0ms	(* (* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))) (sqrt (sqrt (sqrt z))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (sqrt (sqrt z)))
18.0ms	(* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z)))))
19.0ms	(* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))
7.0ms	(* (* y (* (sqrt (sqrt z)) (sqrt (sqrt (sqrt z))))) (sqrt (sqrt (sqrt z))))

simplify70.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4958	1159
1	4958	1159

prune131.0ms

Filtered

77 candidates to 147 candidates (-90.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	147	7	154

Merged error: 0b

Counts

154 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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 z)))
15.0ms	(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
4.0ms	(cbrt (pow (sqrt (sqrt z)) 3))
4.0ms	(pow (sqrt (sqrt z)) 3)

series52.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* y (sqrt (sqrt z)))
7.0ms	(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
15.0ms	(cbrt (pow (sqrt (sqrt z)) 3))
19.0ms	(pow (sqrt (sqrt z)) 3)

simplify77.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4898	1036
1	4898	1036

prune128.0ms

Filtered

73 candidates to 153 candidates (-109.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	153	7	160

Merged error: 0b

Counts

160 → 7

regimes449.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms

analyze156.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

sample522.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
35.0ms	1087×	body	80	nan
15.0ms	431×	body	80	invalid

Details

analyze158.0ms

sample20.0ms

simplify4.0ms

prune8.0ms

localize7.0ms

rewrite8.0ms

series14.0ms

simplify36.0ms

prune69.0ms

localize10.0ms

rewrite23.0ms

series47.0ms

simplify58.0ms

prune103.0ms

localize12.0ms

rewrite52.0ms

series63.0ms

simplify70.0ms

prune131.0ms

localize13.0ms

rewrite35.0ms

series52.0ms

simplify77.0ms

prune128.0ms

regimes449.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze156.0ms

sample522.0ms

Profiling