Details

analyze258.0ms

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4901	11
1	4901	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.7b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

223×	`times-frac_binary64`
181×	`add-sqr-sqrt_binary64`
174×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
19×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 182

Calls

2 calls:

5.0ms	(/.f64 v (+.f64 t1 u))
19.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 v (+.f64 t1 u))
17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5148	3588

prune185.0ms

Filtered

125 candidates to 188 candidates (-50.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	183	7	190

Merged error: 0.2b

Counts

190 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.5b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.6b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
71×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
31×	`add-exp-log_binary64`
24×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-l_binary64`
14×	`difference-of-squares_binary64`
11×	`div-exp_binary64`
10×	`associate-/r*_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
7×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
4×	`cbrt-unprod_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 151

Calls

3 calls:

5.0ms	(/.f64 v (+.f64 t1 u))
9.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
23.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

series29.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 v (+.f64 t1 u))
5.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
17.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

simplify46.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5108	1778

prune129.0ms

Filtered

99 candidates to 160 candidates (-61.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	160	7	167

Merged error: 0.2b

Counts

167 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.3b	(*.f64 v (/.f64 1 (+.f64 t1 u)))
1.7b	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
31×	`add-exp-log_binary64`
23×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-r_binary64`
11×	`div-exp_binary64`
10×	`associate-/r*_binary64`
8×	`prod-exp_binary64`
7×	`distribute-lft-out_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
4×	`cbrt-unprod_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

6.0ms	(/.f64 1 (+.f64 t1 u))
10.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
18.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (+.f64 t1 u))
7.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
17.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4952	1033
1	4952	1033

prune93.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0.2b

Counts

129 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 t1 u) v)
0.5b	(/.f64 1 (/.f64 (+.f64 t1 u) v))
1.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac_binary64`
672×	`add-sqr-sqrt_binary64`
668×	`*-un-lft-identity_binary64`
402×	`add-cube-cbrt_binary64`
108×	`difference-of-squares_binary64`
79×	`distribute-lft-out_binary64`
60×	`associate-/l*_binary64`
54×	`distribute-lft-out--_binary64`
35×	`add-exp-log_binary64` `div-inv_binary64`
25×	`associate-/r*_binary64`
22×	`div-exp_binary64`
19×	`add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `associate-/r/_binary64`
4×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-/l/_binary64` `add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

3 → 521

Calls

3 calls:

6.0ms	(/.f64 (+.f64 t1 u) v)
8.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
26.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 (+.f64 t1 u) v)
17.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
22.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

simplify113.0ms

Algorithm

egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5058	11281

prune331.0ms

Filtered

260 candidates to 530 candidates (-103.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	530	7	537

Merged error: 0.2b

Counts

537 → 7

regimes234.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.2b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample431.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
8.0ms	259×	body	80	invalid

Details

analyze258.0ms

sample18.0ms

simplify122.0ms

prune11.0ms

localize8.0ms

rewrite36.0ms

series24.0ms

simplify57.0ms

prune185.0ms

localize9.0ms

rewrite46.0ms

series29.0ms

simplify46.0ms

prune129.0ms

localize9.0ms

rewrite38.0ms

series29.0ms

simplify57.0ms

prune93.0ms

localize9.0ms

rewrite82.0ms

series46.0ms

simplify113.0ms

prune331.0ms

regimes234.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample431.0ms

Profiling