Details

analyze73.0ms

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

sample10.0ms

Algorithm

intervals

Results

4.0ms	254×	body	128	valid
0.0ms	1×	body	2048	valid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	512	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite8.0ms

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:

7.0ms

(*.f64 500 (-.f64 x y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(*.f64 500 (-.f64 x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5031	250

prune19.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 500 x) (.f64 y -500))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

simplify56.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4927	157
1	4927	157

prune10.0ms

Filtered

9 candidates to 14 candidates (-55.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))
0.1b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
0.1b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
0.3b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-div_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(*.f64 500 (-.f64 x y))
5.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
5.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
17.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 500 (-.f64 x y))
103.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
105.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
102.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4934	1400
1	4934	1400

prune66.0ms

Filtered

67 candidates to 119 candidates (-77.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	4	123

Merged error: 0.0b

Counts

123 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (-.f64 y x) 3)
0.4b	(*.f64 -125000000 (pow.f64 (-.f64 y x) 3))
39.7b	(cbrt.f64 (*.f64 -125000000 (pow.f64 (-.f64 y x) 3)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
16×	`associate-r_binary64`
11×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-cube-cbrt_binary64`
9×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64` `cube-div_binary64`
4×	`pow1_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `flip3--_binary64` `sqr-pow_binary64` `associate-l_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `cbrt-prod_binary64` `*-commutative_binary64`

Counts

3 → 77

Calls

3 calls:

5.0ms	(pow.f64 (-.f64 y x) 3)
11.0ms	(*.f64 -125000000 (pow.f64 (-.f64 y x) 3))
6.0ms	(cbrt.f64 (*.f64 -125000000 (pow.f64 (-.f64 y x) 3)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow.f64 (-.f64 y x) 3)
67.0ms	(*.f64 -125000000 (pow.f64 (-.f64 y x) 3))
68.0ms	(cbrt.f64 (*.f64 -125000000 (pow.f64 (-.f64 y x) 3)))

simplify66.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	1062
1	4983	1062

prune44.0ms

Filtered

52 candidates to 86 candidates (-65.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

regimes57.0ms

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	11	10
1	11	10

end0.0ms

sample275.0ms

Algorithm

intervals

Results

141.0ms	7971×	body	128	valid
1.0ms	65×	body	128	invalid
1.0ms	10×	body	2048	valid
1.0ms	11×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	2×	body	256	valid

Details

analyze73.0ms

sample10.0ms

simplify14.0ms

prune1.0ms

localize4.0ms

rewrite8.0ms

series41.0ms

simplify51.0ms

prune19.0ms

localize5.0ms

rewrite5.0ms

series45.0ms

simplify56.0ms

prune10.0ms

localize6.0ms

rewrite44.0ms

series349.0ms

simplify62.0ms

prune66.0ms

localize7.0ms

rewrite28.0ms

series182.0ms

simplify66.0ms

prune44.0ms

regimes57.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample275.0ms

Profiling