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	56×	body	640	valid
4.0ms	135×	body	80	valid
3.0ms	35×	body	320	valid
2.0ms	30×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	11
1	75	11

prune4.0ms

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: 14.7b

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))
3.7b	(-.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))
7.0ms	(/.f64 1 (-.f64 x 1))
33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/.f64 1 (+.f64 x 1))
3.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4914	1414
1	4914	1414

prune95.0ms

Filtered

72 candidates to 133 candidates (-84.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	2	134

Merged error: 0.1b

Counts

134 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.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 (58.0ms)

Iter	Nodes	Cost
0	4911	371
1	4911	371

prune40.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (*.f64 x x))
0.1b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
22.4b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64`
68×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
44×	`difference-of-squares_binary64`
36×	`associate-l_binary64`
33×	`add-cube-cbrt_binary64`
14×	`sqr-pow_binary64` `unpow-prod-down_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
4×	`associate-r_binary64` `associate-/r/_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 131

Calls

3 calls:

3.0ms	(-.f64 -1 (*.f64 x x))
10.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
16.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 -1 (*.f64 x x))
8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
6.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5055	1803

prune141.0ms

Filtered

101 candidates to 140 candidates (-38.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	139	4	143

Merged error: 0.0b

Counts

143 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
22.4b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 -1 (.f64 x x))))
22.8b	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 -1 (*.f64 x x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-sqr-sqrt_binary64`
131×	`*-un-lft-identity_binary64`
124×	`times-frac_binary64`
84×	`difference-of-squares_binary64`
61×	`add-cube-cbrt_binary64`
36×	`associate-r_binary64` `associate-l_binary64`
28×	`sqr-pow_binary64` `unpow-prod-down_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-out--_binary64`
13×	`associate-/r_binary64` `associate-/l_binary64`
8×	`associate-/r/_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 213

Calls

3 calls:

10.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
37.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 -1 (.f64 x x))))
10.0ms	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 -1 (*.f64 x x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
4.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 -1 (.f64 x x))))
10.0ms	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 -1 (*.f64 x x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5055	3510

prune270.0ms

Filtered

156 candidates to 222 candidates (-42.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	222	4	226

Merged error: 0.0b

Counts

226 → 4

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample568.0ms

Algorithm

intervals

Results

204.0ms	1894×	body	640	valid
131.0ms	4330×	body	80	valid
96.0ms	1172×	body	320	valid
35.0ms	604×	body	160	valid

Details

analyze4.0ms

sample20.0ms

simplify8.0ms

prune4.0ms

localize6.0ms

rewrite50.0ms

series11.0ms

simplify55.0ms

prune95.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify64.0ms

prune40.0ms

localize8.0ms

rewrite35.0ms

series18.0ms

simplify49.0ms

prune141.0ms

localize9.0ms

rewrite68.0ms

series22.0ms

simplify61.0ms

prune270.0ms

regimes28.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample568.0ms

Profiling