Details

analyze343.0ms

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

sample18.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	150	13
1	150	13

prune4.0ms

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))

rewrite9.0ms

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:

8.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5232	299

prune22.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	11	6	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	6	18

Merged error: 0.0b

Counts

18 → 6

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))

rewrite10.0ms

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))

series41.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
23.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

simplify87.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5823	511

prune28.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0.0b

Counts

37 → 7

localize11.0ms

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

series656.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
152.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
148.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
154.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify70.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5120	2392

prune144.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))) 6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_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 → 63

Calls

4 calls:

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)))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))) 6)

series945.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
148.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
145.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
504.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))) 6)

simplify71.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4889	1486
1	4889	1486

prune135.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample424.0ms

Algorithm

intervals

Results

206.0ms	7415×	body	80	valid
20.0ms	172×	body	1280	valid
16.0ms	170×	body	640	valid
10.0ms	138×	body	320	valid
5.0ms	38×	body	2560	valid
3.0ms	67×	body	160	valid
0.0ms	16×	body	80	invalid

Details

analyze343.0ms

sample18.0ms

simplify15.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series20.0ms

simplify74.0ms

prune22.0ms

localize6.0ms

rewrite10.0ms

series41.0ms

simplify87.0ms

prune28.0ms

localize11.0ms

rewrite22.0ms

series656.0ms

simplify70.0ms

prune144.0ms

localize18.0ms

rewrite17.0ms

series945.0ms

simplify71.0ms

prune135.0ms

regimes59.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample424.0ms

Profiling