Details

analyze77.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	27×	body	80	overflowed

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

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: 0.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 45

Calls

2 calls:

7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
80.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify97.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4971	899
1	4971	899

prune37.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.2b

Counts

52 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.5b	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.5b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt_binary64`
106×	`times-frac_binary64`
101×	`*-un-lft-identity_binary64`
71×	`sqrt-prod_binary64`
65×	`add-cube-cbrt_binary64`
27×	`associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
20×	`add-cbrt-cube_binary64`
15×	`distribute-lft-out_binary64` `unswap-sqr_binary64`
14×	`associate-/r*_binary64`
11×	`div-exp_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 205

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
31.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
61.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
78.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
53.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

simplify123.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4948	4981
1	4948	4981

prune108.0ms

Filtered

118 candidates to 217 candidates (-83.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	217	3	220

Merged error: 0.2b

Counts

220 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (exp.f64 a) (exp.f64 b))
0.3b	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
1.0b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
4.8b	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
41×	`add-sqr-sqrt_binary64`
36×	`associate-l_binary64`
35×	`distribute-lft-out_binary64`
34×	`add-cube-cbrt_binary64`
28×	`unpow-prod-down_binary64` `cube-prod_binary64`
13×	`add-cbrt-cube_binary64`
9×	`associate-/r*_binary64` `add-exp-log_binary64`
8×	`pow1_binary64`
7×	`sum-cubes_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `exp-prod_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `pow-prod-up_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate-*l/_binary64`

Counts

4 → 142

Calls

4 calls:

6.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
14.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
31.0ms	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
108.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
243.0ms	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
53.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

simplify96.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5011	4665

prune221.0ms

Filtered

98 candidates to 154 candidates (-57.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Merged error: 0.2b

Counts

157 → 3

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify22.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.2b

Counts

3 → 3

regimes57.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	30
1	15	30

end0.0ms

sample427.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
18.0ms	667×	body	80	overflowed

Details

analyze77.0ms

sample14.0ms

simplify17.0ms

prune2.0ms

localize9.0ms

rewrite21.0ms

series100.0ms

simplify97.0ms

prune37.0ms

localize9.0ms

rewrite60.0ms

series229.0ms

simplify123.0ms

prune108.0ms

localize16.0ms

rewrite64.0ms

series431.0ms

simplify96.0ms

prune221.0ms

localize8.0ms

rewrite0.0ms

series0.0ms

simplify22.0ms

prune0.0ms

regimes57.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample427.0ms

Profiling