Details

analyze180.0ms

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

sample29.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	26×	body	80	nan
1.0ms	10×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune7.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* 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:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5057	299

prune74.0ms

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

rewrite21.0ms

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)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (sqrt z))
14.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt z)))
6.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5019	622

prune113.0ms

Filtered

56 candidates to 100 candidates (-78.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	99	9	108

Merged error: 0b

Counts

108 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
0.4b	(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`sqrt-prod`
27×	`add-sqr-sqrt`
18×	`associate-r`
17×	`pow1`
15×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-l`
9×	`cbrt-prod` `pow-prod-down`
7×	`prod-exp` `cbrt-unprod`
6×	`unswap-sqr`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
7.0ms	(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series101.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
22.0ms	(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
23.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify33.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4933	1092
1	4933	1092

prune134.0ms

Filtered

62 candidates to 99 candidates (-59.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	99	9	108

Merged error: 0b

Counts

108 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (cbrt (pow (sqrt (sqrt z)) 3)))
0.3b	(* (* y (cbrt (pow (sqrt (sqrt z)) 3))) (sqrt (sqrt z)))
0.6b	(cbrt (pow (sqrt (sqrt z)) 3))
0.7b	(pow (sqrt (sqrt z)) 3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

11.0ms	(* y (cbrt (pow (sqrt (sqrt z)) 3)))
11.0ms	(* (* y (cbrt (pow (sqrt (sqrt z)) 3))) (sqrt (sqrt z)))
4.0ms	(cbrt (pow (sqrt (sqrt z)) 3))
4.0ms	(pow (sqrt (sqrt z)) 3)

series55.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* y (cbrt (pow (sqrt (sqrt z)) 3)))
7.0ms	(* (* y (cbrt (pow (sqrt (sqrt z)) 3))) (sqrt (sqrt z)))
15.0ms	(cbrt (pow (sqrt (sqrt z)) 3))
22.0ms	(pow (sqrt (sqrt z)) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4969	1076
1	4969	1076

prune127.0ms

Filtered

73 candidates to 159 candidates (-117.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	159	9	168

Merged error: 0b

Counts

168 → 9

regimes537.0ms

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	13	10
1	13	10

end0.0ms

analyze166.0ms

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

sample536.0ms

Algorithm

intervals

Results

295.0ms	8000×	body	80	valid
34.0ms	1039×	body	80	nan
18.0ms	431×	body	80	invalid

Details

analyze180.0ms

sample29.0ms

simplify4.0ms

prune7.0ms

localize9.0ms

rewrite8.0ms

series14.0ms

simplify35.0ms

prune74.0ms

localize10.0ms

rewrite21.0ms

series49.0ms

simplify50.0ms

prune113.0ms

localize17.0ms

rewrite25.0ms

series101.0ms

simplify33.0ms

prune134.0ms

localize14.0ms

rewrite36.0ms

series55.0ms

simplify63.0ms

prune127.0ms

regimes537.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze166.0ms

sample536.0ms

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