Details

analyze265.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune19.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
0.0b	(+.f64 (/.f64 x 2) (*.f64 y x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1823`
4×	`sum-log_binary64_1773` `*-un-lft-identity_binary64_1858`
2×	`+-commutative_binary64_1925` `add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `add-sqr-sqrt_binary64_1843` `flip3-+_binary64_1856` `flip-+_binary64_1883`
1×	`distribute-lft-out_binary64_1902` `associate-+l+_binary64_1910`

Counts

2 → 25

Calls

2 calls:

9.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
7.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
29.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

simplify92.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5097	490

prune124.0ms

Filtered

24 candidates to 31 candidates (-29.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x (+.f64 y 1/2)) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1823`
2×	`associate-+l+_binary64_1910`
1×	`+-commutative_binary64_1925` `add-cbrt-cube_binary64_1830` `sum-log_binary64_1773` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858` `distribute-rgt-in_binary64_1901` `add-sqr-sqrt_binary64_1843` `distribute-lft-in_binary64_1900` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+.f64 (*.f64 x (+.f64 y 1/2)) z)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(+.f64 (*.f64 x (+.f64 y 1/2)) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5150	228

prune58.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x (+.f64 1/2 y)) z)
0.1b	(.f64 (.f64 x (+.f64 1/2 y)) (*.f64 x (+.f64 1/2 y)))
2.6b	(-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z))
31.7b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 1/2 y)) z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1_binary64_1804`
18×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
17×	`pow-prod-down_binary64_1785`
14×	`associate-*r/_binary64_1919`
13×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
12×	`times-frac_binary64_1853`
9×	`distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900`
8×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `add-log-exp_binary64_1823`
6×	`associate--l+_binary64_1914` `flip3-+_binary64_1856` `flip-+_binary64_1883`
5×	`difference-of-squares_binary64_1887`
4×	`pow-sqr_binary64_1891` `pow-prod-up_binary64_1784` `frac-times_binary64_1850` `flip--_binary64_1884` `associate-/l*_binary64_1922` `flip3--_binary64_1857`
3×	`associate-/r*_binary64_1921`
2×	`pow-plus_binary64_1799` `diff-log_binary64_1774` `associate-*l/_binary64_1920` `associate-/r/_binary64_1923` `associate-/l/_binary64_1924` `sub-neg_binary64_1862`
1×	`pow2_binary64_1795` `div-exp_binary64_1811` `div-sub_binary64_1852` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-l_binary64_1918` `-commutative_binary64_1926` `div-inv_binary64_1859` `associate-r*_binary64_1917` `swap-sqr_binary64_1885`

Counts

4 → 111

Calls

4 calls:

6.0ms	(-.f64 (*.f64 x (+.f64 1/2 y)) z)
12.0ms	(.f64 (.f64 x (+.f64 1/2 y)) (*.f64 x (+.f64 1/2 y)))
13.0ms	(-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z))
20.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 1/2 y)) z))

series233.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(-.f64 (*.f64 x (+.f64 1/2 y)) z)
25.0ms	(.f64 (.f64 x (+.f64 1/2 y)) (*.f64 x (+.f64 1/2 y)))
71.0ms	(-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z))
113.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 1/2 y)) z))

simplify92.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5319	2752

prune527.0ms

Filtered

79 candidates to 123 candidates (-55.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	123	2	125

Merged error: 0b

Counts

125 → 2

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))
0.6b	(cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))
2.6b	(-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z))
31.7b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z)) (cbrt.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z))) (cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-div_binary64_1826`
31×	`flip--_binary64_1884` `flip3--_binary64_1857`
28×	`frac-times_binary64_1850`
26×	`associate-/r/_binary64_1923`
14×	`associate-*l/_binary64_1920`
13×	`add-exp-log_binary64_1822`
9×	`add-cbrt-cube_binary64_1830`
8×	`add-cube-cbrt_binary64_1829` `-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843` `associate-r/_binary64_1919`
6×	`cbrt-prod_binary64_1825` `add-log-exp_binary64_1823`
4×	`pow1_binary64_1804` `distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `associate--l+_binary64_1914` `times-frac_binary64_1853` `associate-/l*_binary64_1922`
3×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `difference-of-squares_binary64_1887`
2×	`pow1/3_binary64_1796` `associate-/l/_binary64_1924`
1×	`div-sub_binary64_1852` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/r*_binary64_1921` `div-inv_binary64_1859` `diff-log_binary64_1774` `sub-neg_binary64_1862`

Counts

4 → 96

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))
6.0ms	(cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))
14.0ms	(-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z))
41.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z)) (cbrt.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z))) (cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))
125.0ms	(cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))
76.0ms	(-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z))
122.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (.f64 z z)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z)) (cbrt.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z))) (cbrt.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z))))

simplify98.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5028	4928

prune419.0ms

Filtered

87 candidates to 108 candidates (-24.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0b

Counts

110 → 2

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms

sample481.0ms

Algorithm

intervals

Results

251.0ms	7996×	body	80	valid
10.0ms	337×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze265.0ms

sample23.0ms

simplify12.0ms

prune19.0ms

localize11.0ms

rewrite16.0ms

series51.0ms

simplify92.0ms

prune124.0ms

localize8.0ms

rewrite7.0ms

series21.0ms

simplify80.0ms

prune58.0ms

localize27.0ms

rewrite56.0ms

series233.0ms

simplify92.0ms

prune527.0ms

localize31.0ms

rewrite72.0ms

series451.0ms

simplify98.0ms

prune419.0ms

regimes199.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample481.0ms

Profiling