Details

analyze291.0ms

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
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	103	7
1	103	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`distribute-lft-out_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify57.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5295	342

prune43.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0b

Counts

34 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `associate-l/_binary64`
4×	`pow1_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
6.0ms	(*.f64 (+.f64 x y) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5009	457

prune43.0ms

Filtered

33 candidates to 44 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series62.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune73.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-times_binary64`
21×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
16×	`associate-*r/_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
10×	`associate-*l/_binary64`
8×	`associate-r_binary64`
5×	`distribute-lft-out_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x y))
10.0ms	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y)))
16.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 x y))
7.0ms	(sqrt.f64 (+.f64 x y))
12.0ms	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y)))
14.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5061	1625

prune97.0ms

Filtered

93 candidates to 124 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes275.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	11	7
1	11	7

end0.0ms

sample370.0ms

Algorithm

intervals

Results

182.0ms	7998×	body	80	valid
12.0ms	565×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze291.0ms

sample15.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series8.0ms

simplify57.0ms

prune43.0ms

localize5.0ms

rewrite17.0ms

series15.0ms

simplify44.0ms

prune43.0ms

localize11.0ms

rewrite12.0ms

series62.0ms

simplify51.0ms

prune73.0ms

localize8.0ms

rewrite38.0ms

series41.0ms

simplify45.0ms

prune97.0ms

regimes275.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample370.0ms

Profiling