Details

analyze667.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	13×	body	128	invalid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	1196	13
1	1196	13

prune4.0ms

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: 5.3b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.4b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
26.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series312.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/.f64 2 (-.f64 y t))
109.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
151.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

simplify93.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5005	4394

prune187.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	229	8	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	229	10	239

Merged error: 0.0b

Counts

239 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
1.5b	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod_binary64`
54×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
47×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`pow1_binary64` `associate-/r/_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
3×	`cbrt-div_binary64` `flip3--_binary64` `pow1/3_binary64` `associate-l_binary64` `flip--_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
5.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
23.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
252.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
274.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
481.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4960	2999
1	4960	2999

prune174.0ms

Filtered

104 candidates to 132 candidates (-26.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	132	10	142

Merged error: 0.0b

Counts

142 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
2.7b	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-/r/_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `*-commutative_binary64`

Counts

3 → 101

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
11.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
9.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

series278.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/.f64 2 (-.f64 y t))
70.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
158.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5699	1404

prune72.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	3	4	7
Picked	1	0	1
Done	0	2	2
Total	110	10	120

Merged error: 0b

Counts

120 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x 2) (-.f64 y t))
2.7b	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/l*_binary64`
10×	`associate-/r/_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 91

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
10.0ms	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

series230.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
157.0ms	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4959	1739
1	4959	1739

prune55.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	6	7
Picked	1	0	1
Done	1	1	2
Total	99	8	107

Merged error: 0b

Counts

107 → 8

regimes141.0ms

Accuracy

13.4% (4.6b remaining)

Error of 4.7b against oracle of 0.0b and baseline of 5.4b

bsearch28.0ms

Steps

Iters	Range		Point
8	-1.1314179072165698e-204	-3.639365493535512e-209	-6.187154742046292e-207
5	-2.3555915173361785e+64	-6.630530787418146e+63	-1.2678525880262989e+64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	43
1	39	43

end0.0ms

sample519.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	128	valid
22.0ms	663×	body	128	invalid

Details

analyze667.0ms

sample21.0ms

simplify76.0ms

prune4.0ms

localize7.0ms

rewrite73.0ms

series312.0ms

simplify93.0ms

prune187.0ms

localize16.0ms

rewrite56.0ms

series1.3s

simplify74.0ms

prune174.0ms

localize7.0ms

rewrite34.0ms

series278.0ms

simplify56.0ms

prune72.0ms

localize7.0ms

rewrite28.0ms

series230.0ms

simplify57.0ms

prune55.0ms

regimes141.0ms

bsearch28.0ms

simplify2.0ms

end0.0ms

sample519.0ms

Profiling