Details

analyze255.0ms

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

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	4950	16
1	4950	16

prune5.0ms

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

localize7.0ms

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)))

rewrite32.0ms

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))
16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/.f64 v (+.f64 t1 u))
64.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify100.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5079	5524

prune150.0ms

Filtered

125 candidates to 188 candidates (-50.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	180	8	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	181	9	190

Merged error: 0b

Counts

190 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
7.2b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.2b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.2b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt.f64 v)
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 v)
174.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
174.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
175.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify118.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4849	971
1	4849	971

prune100.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	71	9	80

Merged error: 0b

Counts

80 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.6b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite42.0ms

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))
8.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
22.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

series123.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 v (+.f64 t1 u))
26.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
71.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

simplify98.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5448	2687

prune98.0ms

Filtered

101 candidates to 160 candidates (-58.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	161	8	169

Merged error: 0b

Counts

169 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
2.9b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

223×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
88×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
27×	`associate-/l*_binary64`
25×	`distribute-lft-out_binary64`
19×	`distribute-lft-out--_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`div-inv_binary64`
6×	`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×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64`

Counts

2 → 182

Calls

2 calls:

15.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
8.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
35.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

simplify117.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5738	5422

prune131.0ms

Filtered

128 candidates to 188 candidates (-46.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	189	7	196

Merged error: 0b

Counts

196 → 7

regimes65.0ms

Accuracy

0% (1.3b remaining)

Error of 1.5b against oracle of 0.2b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms

sample444.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
7.0ms	238×	body	80	invalid

Details

analyze255.0ms

sample17.0ms

simplify198.0ms

prune5.0ms

localize7.0ms

rewrite32.0ms

series89.0ms

simplify100.0ms

prune150.0ms

localize20.0ms

rewrite21.0ms

series605.0ms

simplify118.0ms

prune100.0ms

localize9.0ms

rewrite42.0ms

series123.0ms

simplify98.0ms

prune98.0ms

localize7.0ms

rewrite34.0ms

series105.0ms

simplify117.0ms

prune131.0ms

regimes65.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample444.0ms

Profiling