Details

analyze253.0ms

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample31.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify172.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	4960	18
1	4960	18

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64_1823`
19×	`*-un-lft-identity_binary64_1858`
14×	`add-sqr-sqrt_binary64_1843`
12×	`log-prod_binary64_1776`
10×	`add-cube-cbrt_binary64_1829`
7×	`pow1_binary64_1804`
6×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `distribute-rgt-in_binary64_1901` `diff-log_binary64_1774` `distribute-lft-in_binary64_1900` `associate--r+_binary64_1913`
4×	`sum-log_binary64_1773` `associate-l_binary64_1918` `associate-r_binary64_1917`
3×	`distribute-lft-out_binary64_1902` `sub-neg_binary64_1862`
2×	`associate-*l/_binary64_1920` `associate-+l-_binary64_1912` `flip3-+_binary64_1856` `flip--_binary64_1884` `distribute-lft-out--_binary64_1903` `flip-+_binary64_1883` `flip3--_binary64_1857`
1×	`+-commutative_binary64_1925` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `associate--l-_binary64_1915` `associate-+l+_binary64_1910` `unswap-sqr_binary64_1886` `associate--l+_binary64_1914` `log-pow_binary64_1779` `pow-prod-down_binary64_1785` `difference-of-squares_binary64_1887`

Counts

4 → 78

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series220.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
34.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
39.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
92.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5300	1621

prune375.0ms

Filtered

70 candidates to 90 candidates (-28.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1858`
12×	`log-prod_binary64_1776` `cbrt-prod_binary64_1825` `associate-+r+_binary64_1909`
11×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
10×	`associate-*l/_binary64_1920`
9×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
6×	`distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `flip3-+_binary64_1856` `flip-+_binary64_1883` `add-log-exp_binary64_1823`
4×	`associate-l_binary64_1918` `frac-add_binary64_1848`
3×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
2×	`pow1/3_binary64_1796` `distribute-lft-out_binary64_1902`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `-commutative_binary64_1926` `associate-r*_binary64_1917`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
12.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series833.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
409.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
85.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 y)

simplify79.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5438	1223

prune435.0ms

Filtered

72 candidates to 83 candidates (-15.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Merged error: 0b

Counts

90 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (cbrt.f64 y))
0.1b	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 3/2 (.f64 y 3)))) y)
0.4b	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 3/2 (.f64 y 3)))
0.5b	(cbrt.f64 y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
9×	`add-cube-cbrt_binary64_1829` `add-log-exp_binary64_1823`
8×	`pow1_binary64_1804`
7×	`add-exp-log_binary64_1822`
6×	`add-cbrt-cube_binary64_1830` `log-prod_binary64_1776` `cbrt-prod_binary64_1825`
5×	`associate-l_binary64_1918`
4×	`log-pow_binary64_1779`
3×	`pow1/3_binary64_1796` `associate-r_binary64_1917`
2×	`sum-log_binary64_1773` `associate-*r/_binary64_1919` `flip3-+_binary64_1856` `flip-+_binary64_1883`
1×	`+-commutative_binary64_1925` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `distribute-lft-out_binary64_1902` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `rem-log-exp_binary64_1821` `diff-log_binary64_1774` `associate-+l+_binary64_1910` `unswap-sqr_binary64_1886` `associate-+l-_binary64_1912` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785` `sub-neg_binary64_1862`

Counts

4 → 66

Calls

4 calls:

2.0ms	(log.f64 (cbrt.f64 y))
5.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 3/2 (.f64 y 3)))) y)
6.0ms	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 3/2 (.f64 y 3)))
1.0ms	(cbrt.f64 y)

series560.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(log.f64 (cbrt.f64 y))
91.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 3/2 (.f64 y 3)))) y)
238.0ms	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 3/2 (.f64 y 3)))
89.0ms	(cbrt.f64 y)

simplify84.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4975	997
1	4975	997

prune349.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0b

Counts

85 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (*.f64 (log.f64 y) 2/3) (log.f64 (sqrt.f64 (cbrt.f64 y))))
0.4b	(*.f64 (log.f64 y) 2/3)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1843`
11×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
9×	`log-prod_binary64_1776` `cbrt-prod_binary64_1825` `associate-+r+_binary64_1909`
7×	`pow1_binary64_1804`
6×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `sqrt-prod_binary64_1837`
5×	`add-log-exp_binary64_1823`
4×	`associate-l_binary64_1918`
3×	`associate-r_binary64_1917`
2×	`pow1/3_binary64_1796`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `unswap-sqr_binary64_1886` `log-pow_binary64_1779` `pow-prod-down_binary64_1785` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

4 → 61

Calls

4 calls:

7.0ms	(+.f64 (*.f64 (log.f64 y) 2/3) (log.f64 (sqrt.f64 (cbrt.f64 y))))
4.0ms	(*.f64 (log.f64 y) 2/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series426.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+.f64 (*.f64 (log.f64 y) 2/3) (log.f64 (sqrt.f64 (cbrt.f64 y))))
56.0ms	(*.f64 (log.f64 y) 2/3)
83.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)

simplify88.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5037	770

prune511.0ms

Filtered

56 candidates to 73 candidates (-30.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	73	7	80

Merged error: 0b

Counts

80 → 7

regimes544.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms

sample618.0ms

Algorithm

intervals

Results

382.0ms	7999×	body	80	valid
5.0ms	42×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze253.0ms

sample31.0ms

simplify172.0ms

prune14.0ms

localize14.0ms

rewrite27.0ms

series220.0ms

simplify71.0ms

prune375.0ms

localize23.0ms

rewrite25.0ms

series833.0ms

simplify79.0ms

prune435.0ms

localize18.0ms

rewrite16.0ms

series560.0ms

simplify84.0ms

prune349.0ms

localize28.0ms

rewrite16.0ms

series426.0ms

simplify88.0ms

prune511.0ms

regimes544.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample618.0ms

Profiling