Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample15.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

prune13.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x 1/3)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_1858` `add-log-exp_binary64_1823`
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` `distribute-lft-out_binary64_1902` `add-sqr-sqrt_binary64_1843` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

1 → 12

Calls

1 calls:

3.0ms

(+.f64 x 1/3)

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(+.f64 x 1/3)

simplify89.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4972	101
1	4972	101

prune50.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x 1/3)
14.7b	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1843`
25×	`*-un-lft-identity_binary64_1858`
20×	`times-frac_binary64_1853`
13×	`add-cube-cbrt_binary64_1829`
12×	`difference-of-squares_binary64_1887`
6×	`distribute-lft-out--_binary64_1903`
5×	`associate-/r*_binary64_1921`
4×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `associate-/l*_binary64_1922` `add-log-exp_binary64_1823`
3×	`flip--_binary64_1884` `flip3--_binary64_1857`
2×	`pow1_binary64_1804` `associate-/r/_binary64_1923` `associate-/l/_binary64_1924`
1×	`div-exp_binary64_1811` `div-sub_binary64_1852` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `div-inv_binary64_1859` `diff-log_binary64_1774` `sub-neg_binary64_1862`

Counts

2 → 59

Calls

2 calls:

3.0ms	(-.f64 x 1/3)
9.0ms	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))

series65.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(-.f64 x 1/3)
51.0ms	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))

simplify88.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5146	1082

prune175.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x 1/3)
0.0b	(exp.f64 (+.f64 x 1/3))
0.7b	(log.f64 (exp.f64 (+.f64 x 1/3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1858`
8×	`exp-prod_binary64_1812` `add-log-exp_binary64_1823`
6×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
5×	`log-pow_binary64_1779`
4×	`log-prod_binary64_1776` `pow1_binary64_1804`
3×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `distribute-lft-out_binary64_1902`
2×	`sum-log_binary64_1773` `exp-sum_binary64_1817` `rem-exp-log_binary64_1820`
1×	`+-commutative_binary64_1925` `rem-log-exp_binary64_1821` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

3 → 43

Calls

3 calls:

3.0ms	(+.f64 x 1/3)
12.0ms	(exp.f64 (+.f64 x 1/3))
4.0ms	(log.f64 (exp.f64 (+.f64 x 1/3)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x 1/3)
7.0ms	(exp.f64 (+.f64 x 1/3))
15.0ms	(log.f64 (exp.f64 (+.f64 x 1/3)))

simplify73.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4926	371
1	4926	371

prune117.0ms

Filtered

33 candidates to 52 candidates (-57.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Merged error: 0b

Counts

55 → 3

regimes60.0ms

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	5	4
1	5	4

end0.0ms

sample266.0ms

Algorithm

intervals

Results

152.0ms

8000×

body

valid

Details

analyze2.0ms

sample15.0ms

simplify11.0ms

prune13.0ms

localize3.0ms

rewrite3.0ms

series12.0ms

simplify89.0ms

prune50.0ms

localize9.0ms

rewrite22.0ms

series65.0ms

simplify88.0ms

prune175.0ms

localize7.0ms

rewrite21.0ms

series34.0ms

simplify73.0ms

prune117.0ms

regimes60.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample266.0ms

Profiling