Details

analyze63.0ms

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune3.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) x)
10.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x y) x)
4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5115	268

prune15.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

14.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
18.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
18.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
17.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5377	1732

prune51.0ms

Filtered

83 candidates to 107 candidates (-28.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64` `unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x)))))
5.0ms	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

series98.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))
17.0ms	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x)))))
21.0ms	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
41.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5112	1480

prune61.0ms

Filtered

74 candidates to 85 candidates (-14.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

88 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod_binary64`
30×	`unpow-prod-down_binary64`
26×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-unpow_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`pow-pow_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 92

Calls

4 calls:

6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

series142.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
40.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
40.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
43.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

simplify82.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4919	1916
1	4919	1916

prune103.0ms

Filtered

82 candidates to 104 candidates (-26.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

107 → 3

regimes73.0ms

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	8	7
1	8	7

end0.0ms

sample318.0ms

Algorithm

intervals

Results

177.0ms	7999×	body	80	valid
2.0ms	82×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze63.0ms

sample12.0ms

simplify6.0ms

prune3.0ms

localize4.0ms

rewrite15.0ms

series11.0ms

simplify38.0ms

prune15.0ms

localize9.0ms

rewrite34.0ms

series80.0ms

simplify77.0ms

prune51.0ms

localize20.0ms

rewrite27.0ms

series98.0ms

simplify46.0ms

prune61.0ms

localize28.0ms

rewrite34.0ms

series142.0ms

simplify82.0ms

prune103.0ms

regimes73.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample318.0ms

Profiling