Details

analyze227.0ms

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	255×	body	128	valid
0.0ms	1×	body	1024	valid

simplify174.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

prune1.0ms

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: 6.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
58×	`*-un-lft-identity_binary64`
44×	`times-frac_binary64`
24×	`difference-of-squares_binary64`
16×	`add-cube-cbrt_binary64`
9×	`distribute-lft-out_binary64`
8×	`associate-/r*_binary64`
6×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 76

Calls

2 calls:

11.0ms	(-.f64 1 (/.f64 y z))
14.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(-.f64 1 (/.f64 y z))
103.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5323	1688

prune65.0ms

Filtered

49 candidates to 82 candidates (-67.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Merged error: 4.5b

Counts

83 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
0.3b	(/.f64 1 (-.f64 1 (/.f64 y z)))
6.2b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
64×	`*-un-lft-identity_binary64`
32×	`difference-of-squares_binary64`
30×	`associate-r_binary64`
29×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64`
3×	`flip3--_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 125

Calls

3 calls:

8.0ms	(-.f64 1 (/.f64 y z))
11.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
23.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

series184.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(-.f64 1 (/.f64 y z))
54.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
106.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

simplify73.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5774	2166

prune83.0ms

Filtered

80 candidates to 134 candidates (-67.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Merged error: 4.5b

Counts

143 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))
6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`
166×	`times-frac_binary64`
76×	`difference-of-squares_binary64`
59×	`add-cube-cbrt_binary64`
38×	`cbrt-prod_binary64`
35×	`distribute-lft-out_binary64`
24×	`associate-/r*_binary64`
19×	`distribute-lft-out--_binary64`
12×	`associate-/l*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64`
6×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 227

Calls

4 calls:

13.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))
13.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
13.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
14.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series919.0ms

Counts

4 → 12

Calls

4 calls:

660.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))
88.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
87.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
83.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4981	5879
1	4981	5879

prune227.0ms

Filtered

142 candidates to 239 candidates (-68.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	239	9	248

Merged error: 4.5b

Counts

248 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (-.f64 1 (/.f64 y z)))
0.3b	(/.f64 1 (-.f64 1 (/.f64 y z)))
6.3b	(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
6.3b	(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

174×	`add-sqr-sqrt_binary64`
128×	`times-frac_binary64`
112×	`*-un-lft-identity_binary64`
60×	`sqrt-prod_binary64`
56×	`difference-of-squares_binary64`
54×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`
14×	`distribute-lft-out--_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
6×	`sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `inv-pow_binary64` `div-inv_binary64` `flip--_binary64` `pow-flip_binary64`
2×	`pow1/2_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-exp_binary64` `sqrt-div_binary64`

Counts

4 → 194

Calls

4 calls:

11.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
11.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
12.0ms	(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
12.0ms	(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
50.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
59.0ms	(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
65.0ms	(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))

simplify91.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4977	3790
1	4977	3790

prune156.0ms

Filtered

112 candidates to 206 candidates (-83.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	206	9	215

Merged error: 4.5b

Counts

215 → 9

regimes108.0ms

Accuracy

69.4% (0.6b remaining)

Error of 6.4b against oracle of 5.9b and baseline of 7.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	81
1	59	81

end0.0ms

sample393.0ms

Algorithm

intervals

Results

231.0ms	7996×	body	128	valid
0.0ms	4×	body	1024	valid

Details

analyze227.0ms

sample15.0ms

simplify174.0ms

prune1.0ms

localize6.0ms

rewrite32.0ms

series127.0ms

simplify60.0ms

prune65.0ms

localize7.0ms

rewrite55.0ms

series184.0ms

simplify73.0ms

prune83.0ms

localize11.0ms

rewrite95.0ms

series919.0ms

simplify106.0ms

prune227.0ms

localize10.0ms

rewrite76.0ms

series228.0ms

simplify91.0ms

prune156.0ms

regimes108.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample393.0ms

Profiling