Details

analyze380.0ms

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

sample16.0ms

Algorithm

intervals

Results

6.0ms	231×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune6.0ms

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

localize6.0ms

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:

6.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5080	204

prune22.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	5	18

Merged error: 0.1b

Counts

18 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
4.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
6.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5598	346

prune27.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
35.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
35.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
37.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify40.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5079	1554

prune106.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
44.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
47.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
43.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5294	1105

prune154.0ms

Filtered

69 candidates to 73 candidates (-5.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

regimes151.0ms

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

sample431.0ms

Algorithm

intervals

Results

196.0ms	7365×	body	80	valid
22.0ms	189×	body	1280	valid
20.0ms	213×	body	640	valid
15.0ms	127×	body	320	valid
5.0ms	33×	body	2560	valid
4.0ms	73×	body	160	valid
0.0ms	8×	body	80	invalid

Details

analyze380.0ms

sample16.0ms

simplify7.0ms

prune6.0ms

localize6.0ms

rewrite10.0ms

series7.0ms

simplify50.0ms

prune22.0ms

localize6.0ms

rewrite11.0ms

series13.0ms

simplify53.0ms

prune27.0ms

localize10.0ms

rewrite22.0ms

series155.0ms

simplify40.0ms

prune106.0ms

localize20.0ms

rewrite16.0ms

series169.0ms

simplify36.0ms

prune154.0ms

regimes151.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample431.0ms

Profiling