Details

analyze532.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

sample39.0ms

Algorithm

intervals

Results

6.0ms	175×	body	80	valid
5.0ms	33×	body	1280	valid
4.0ms	14×	body	320	valid
2.0ms	20×	body	640	valid
2.0ms	12×	body	2560	valid
1.0ms	32×	body	80	invalid
1.0ms	10×	body	160	invalid
0.0ms	3×	body	1280	invalid
0.0ms	4×	body	320	invalid
0.0ms	3×	body	640	invalid
0.0ms	2×	body	160	valid

simplify208.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (200.0ms)

Iter	Nodes	Cost
0	5584	7

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_1843`
5×	`-un-lft-identity_binary64_1858` `associate-r*_binary64_1917`
3×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `associate-l_binary64_1918` `pow1_binary64_1804`
2×	`associate-*r/_binary64_1919` `sub-neg_binary64_1862`
1×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785` `flip--_binary64_1884` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887` `flip3--_binary64_1857` `add-log-exp_binary64_1823`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 y (-.f64 x z))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.f64 y (-.f64 x z))

simplify87.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5079	254

prune84.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1823`
1×	`+-commutative_binary64_1925` `add-cbrt-cube_binary64_1830` `unsub-neg_binary64_1863` `sum-log_binary64_1773` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `distribute-lft-out_binary64_1902` `distribute-rgt-neg-out_binary64_1895` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5197	170

prune59.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1825`
23×	`add-sqr-sqrt_binary64_1843`
15×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796`
6×	`add-exp-log_binary64_1822` `associate-l_binary64_1918` `associate-r_binary64_1917` `swap-sqr_binary64_1885`
4×	`add-cbrt-cube_binary64_1830` `unswap-sqr_binary64_1886` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
1×	`pow2_binary64_1795` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `pow-plus_binary64_1799`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series362.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
91.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5309	608

prune268.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (-.f64 x z) (cbrt.f64 y))
0.4b	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
28.3b	(cbrt.f64 (*.f64 y y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1843`
11×	`add-exp-log_binary64_1822` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858`
9×	`add-cube-cbrt_binary64_1829` `associate-l_binary64_1918` `cbrt-prod_binary64_1825`
7×	`add-cbrt-cube_binary64_1830` `associate-r_binary64_1917`
4×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `associate-*l/_binary64_1920` `pow-prod-down_binary64_1785` `add-log-exp_binary64_1823`
2×	`pow1/3_binary64_1796` `-commutative_binary64_1926` `unswap-sqr_binary64_1886` `associate-r/_binary64_1919` `flip--_binary64_1884` `flip3--_binary64_1857`
1×	`distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`

Counts

4 → 67

Calls

4 calls:

7.0ms	(*.f64 (-.f64 x z) (cbrt.f64 y))
8.0ms	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (*.f64 y y))

series313.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(*.f64 (-.f64 x z) (cbrt.f64 y))
42.0ms	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
84.0ms	(cbrt.f64 y)
92.0ms	(cbrt.f64 (*.f64 y y))

simplify97.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5538	919

prune210.0ms

Filtered

62 candidates to 79 candidates (-27.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0b

Counts

82 → 3

regimes227.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample947.0ms

Algorithm

intervals

Results

217.0ms	5656×	body	80	valid
144.0ms	908×	body	1280	valid
78.0ms	623×	body	640	valid
44.0ms	1195×	body	80	invalid
43.0ms	229×	body	2560	valid
36.0ms	374×	body	320	valid
26.0ms	205×	body	640	invalid
22.0ms	337×	body	160	invalid
17.0ms	174×	body	320	invalid
14.0ms	210×	body	160	valid
12.0ms	78×	body	1280	invalid

Details

analyze532.0ms

sample39.0ms

simplify208.0ms

prune15.0ms

localize5.0ms

rewrite7.0ms

series32.0ms

simplify87.0ms

prune84.0ms

localize10.0ms

rewrite4.0ms

series31.0ms

simplify65.0ms

prune59.0ms

localize12.0ms

rewrite11.0ms

series362.0ms

simplify75.0ms

prune268.0ms

localize13.0ms

rewrite20.0ms

series313.0ms

simplify97.0ms

prune210.0ms

regimes227.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample947.0ms

Profiling