Details

analyze69.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

prune2.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 200.0 (-.f64 x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 200.0 (-.f64 x y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 200.0 (-.f64 x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune27.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
0.4b	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64`
6×	`associate-l_binary64`
5×	`add-cube-cbrt_binary64`
4×	`cbrt-prod_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 50

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
12.0ms	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
13.0ms	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5454	395

prune47.0ms

Filtered

35 candidates to 56 candidates (-60.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	4	60

Merged error: 0.0b

Counts

60 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (-.f64 x y) (sqrt.f64 200.0))
0.3b	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200.0))
10.0ms	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200.0))
13.0ms	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5008	392

prune43.0ms

Filtered

36 candidates to 55 candidates (-52.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.0b	(sqrt.f64 (-.f64 x y))
0.1b	(*.f64 200.0 (sqrt.f64 (-.f64 x y)))
0.2b	(.f64 (.f64 200.0 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 x y))
4.0ms	(sqrt.f64 (-.f64 x y))
7.0ms	(*.f64 200.0 (sqrt.f64 (-.f64 x y)))
13.0ms	(.f64 (.f64 200.0 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (-.f64 x y))
12.0ms	(sqrt.f64 (-.f64 x y))
18.0ms	(*.f64 200.0 (sqrt.f64 (-.f64 x y)))
6.0ms	(.f64 (.f64 200.0 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5006	936

prune249.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

regimes148.0ms

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	16	5
1	16	5

end0.0ms

sample275.0ms

Algorithm

intervals

Results

139.0ms	7859×	body	80	valid
4.0ms	55×	body	1280	valid
2.0ms	27×	body	2560	valid
2.0ms	31×	body	640	valid
1.0ms	51×	body	80	invalid
1.0ms	17×	body	320	valid
0.0ms	11×	body	160	valid

Details

analyze69.0ms

sample11.0ms

simplify11.0ms

prune2.0ms

localize3.0ms

rewrite7.0ms

series9.0ms

simplify68.0ms

prune27.0ms

localize6.0ms

rewrite22.0ms

series22.0ms

simplify39.0ms

prune47.0ms

localize5.0ms

rewrite20.0ms

series20.0ms

simplify52.0ms

prune43.0ms

localize5.0ms

rewrite31.0ms

series47.0ms

simplify36.0ms

prune249.0ms

regimes148.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample275.0ms

Profiling