Details

analyze252.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
10.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

series94.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
45.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4971	490
1	4971	490

prune22.0ms

Filtered

24 candidates to 31 candidates (-29.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow1_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64`
1×	`distribute-lft-out_binary64` `associate-+r+_binary64`

Counts

2 → 27

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) z)
13.0ms	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

series83.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+.f64 (*.f64 x y) z)
41.0ms	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

simplify83.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4970	548
1	4970	548

prune19.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y 1/2))
0.0b	(+.f64 z (*.f64 x (+.f64 y 1/2)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y 1/2))
4.0ms	(+.f64 z (*.f64 x (+.f64 y 1/2)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(*.f64 x (+.f64 y 1/2))
46.0ms	(+.f64 z (*.f64 x (+.f64 y 1/2)))

simplify52.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	461
1	4972	461

prune24.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	42	3	45

Merged error: 0.0b

Counts

45 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
0.0b	(sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)))
0.0b	(sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)))
0.3b	(.f64 (sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (.f64 x y) z))) (sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-div_binary64`
34×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
26×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
21×	`pow1_binary64`
16×	`frac-times_binary64`
14×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`add-log-exp_binary64` `distribute-lft-out_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`associate-r/_binary64` `unswap-sqr_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64` `sum-log_binary64`
2×	`rem-sqrt-square_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 130

Calls

4 calls:

11.0ms	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
10.0ms	(sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)))
10.0ms	(sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)))
26.0ms	(.f64 (sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (.f64 x y) z))) (sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
159.0ms	(sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)))
147.0ms	(sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)))
47.0ms	(.f64 (sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (.f64 x y) z))) (sqrt.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))))

simplify76.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5035	4141

prune103.0ms

Filtered

82 candidates to 142 candidates (-73.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	142	3	145

Merged error: 0.0b

Counts

145 → 3

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample393.0ms

Algorithm

intervals

Results

218.0ms	7999×	body	128	valid
7.0ms	272×	body	128	invalid
0.0ms	1×	body	1024	valid

Details

analyze252.0ms

sample14.0ms

simplify8.0ms

prune2.0ms

localize6.0ms

rewrite20.0ms

series94.0ms

simplify76.0ms

prune22.0ms

localize6.0ms

rewrite19.0ms

series83.0ms

simplify83.0ms

prune19.0ms

localize8.0ms

rewrite12.0ms

series92.0ms

simplify52.0ms

prune24.0ms

localize8.0ms

rewrite79.0ms

series395.0ms

simplify76.0ms

prune103.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample393.0ms

Profiling