Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample20.0ms

Algorithm

intervals

Results

6.0ms	54×	body	640	valid
4.0ms	135×	body	80	valid
4.0ms	47×	body	320	valid
1.0ms	20×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	11
1	75	11

prune3.0ms

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: 14.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
3.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`distribute-lft-out_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `div-exp_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 124

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))
32.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series10.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/.f64 1 (-.f64 x 1))
2.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify54.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4914	1414
1	4914	1414

prune60.0ms

Filtered

72 candidates to 133 candidates (-84.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	2	134

Merged error: 0.6b

Counts

134 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.6b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4911	371
1	4911	371

prune24.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	5	34

Merged error: 0.5b

Counts

34 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
14.3b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
14.3b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
14.3b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`cbrt-div_binary64` `associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

4 → 101

Calls

4 calls:

5.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
7.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
18.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
18.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
20.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5046	1685

prune128.0ms

Filtered

98 candidates to 113 candidates (-15.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	114	4	118

Merged error: 0.5b

Counts

118 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (/.f64 -2 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
14.3b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
14.3b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac_binary64`
148×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
144×	`sqrt-prod_binary64`
24×	`associate-/l*_binary64`
20×	`sqrt-div_binary64`
16×	`associate-/r/_binary64`
10×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 221

Calls

3 calls:

14.0ms	(/.f64 (/.f64 -2 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
3.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (/.f64 -2 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
4.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
4.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4905	4881
1	4905	4881

prune108.0ms

Filtered

116 candidates to 230 candidates (-98.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	230	4	234

Merged error: 0.5b

Counts

234 → 4

regimes35.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample617.0ms

Algorithm

intervals

Results

229.0ms	1930×	body	640	valid
142.0ms	4168×	body	80	valid
114.0ms	1287×	body	320	valid
37.0ms	615×	body	160	valid

Details

analyze4.0ms

sample20.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite50.0ms

series10.0ms

simplify54.0ms

prune60.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify64.0ms

prune24.0ms

localize9.0ms

rewrite24.0ms

series60.0ms

simplify66.0ms

prune128.0ms

localize7.0ms

rewrite37.0ms

series12.0ms

simplify92.0ms

prune108.0ms

regimes35.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample617.0ms

Profiling