Details

analyze53.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5063	538

prune45.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
8×	`associate-/r*_binary64` `associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`flip3-+_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

3 → 93

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))
22.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 y (+.f64 x y))
6.0ms	(/.f64 x (+.f64 x y))
14.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5553	1018

prune72.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (+.f64 x y))
18.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4930	300
1	4930	300

prune56.0ms

Filtered

52 candidates to 59 candidates (-13.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize6.0ms

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 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
0.1b	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
65×	`sqrt-prod_binary64`
44×	`add-cube-cbrt_binary64`
38×	`associate-r_binary64`
17×	`distribute-lft-out_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64` `associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 x y))
3.0ms	(sqrt.f64 (-.f64 x y))
8.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
21.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (-.f64 x y))
11.0ms	(sqrt.f64 (-.f64 x y))
16.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
14.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5854	2053

prune93.0ms

Filtered

108 candidates to 176 candidates (-63.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	176	4	180

Merged error: 0b

Counts

180 → 4

regimes103.0ms

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	7
1	16	7

end0.0ms

sample305.0ms

Algorithm

intervals

Results

175.0ms

8000×

body

valid

Details

analyze53.0ms

sample16.0ms

simplify51.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series10.0ms

simplify37.0ms

prune45.0ms

localize5.0ms

rewrite37.0ms

series26.0ms

simplify48.0ms

prune72.0ms

localize15.0ms

rewrite8.0ms

series88.0ms

simplify48.0ms

prune56.0ms

localize6.0ms

rewrite43.0ms

series51.0ms

simplify64.0ms

prune93.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample305.0ms

Profiling