Details

analyze352.0ms

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
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample19.0ms

Algorithm

intervals

Results

6.0ms	231×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5080	204

prune14.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
48.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
48.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4848	1864
1	4848	1864

prune100.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
18×	`*-un-lft-identity_binary64`
12×	`cbrt-div_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 62

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
58.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
62.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

simplify36.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5067	1208

prune115.0ms

Filtered

66 candidates to 74 candidates (-12.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	74	5	79

Merged error: 0.0b

Counts

79 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div_binary64`
34×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`

Counts

4 → 68

Calls

4 calls:

8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
23.0ms	(cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
63.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
60.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
82.0ms	(cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5504	1813

prune196.0ms

Filtered

70 candidates to 80 candidates (-14.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample445.0ms

Algorithm

intervals

Results

213.0ms	7408×	body	80	valid
23.0ms	193×	body	1280	valid
17.0ms	180×	body	640	valid
9.0ms	118×	body	320	valid
5.0ms	31×	body	2560	valid
4.0ms	70×	body	160	valid
0.0ms	7×	body	80	invalid

Details

analyze352.0ms

sample19.0ms

simplify8.0ms

prune7.0ms

localize7.0ms

rewrite10.0ms

series7.0ms

simplify54.0ms

prune14.0ms

localize13.0ms

rewrite46.0ms

series214.0ms

simplify74.0ms

prune100.0ms

localize16.0ms

rewrite34.0ms

series218.0ms

simplify36.0ms

prune115.0ms

localize21.0ms

rewrite51.0ms

series267.0ms

simplify46.0ms

prune196.0ms

regimes126.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample445.0ms

Profiling