Details

analyze285.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	239×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	18×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

simplify57.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	218
1	4963	218

prune36.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3.0 d2))
0.0b	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3.0 d2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 d1 (+.f64 3.0 d2))
5.0ms	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3.0 d2)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 3.0 d2))
10.0ms	(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3.0 d2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5131	325

prune42.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))))
51.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))
48.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))
51.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3.0 d2))))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4910	1188
1	4910	1188

prune110.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
0.0b	(sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))) (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
5.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
9.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
19.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))) (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
9.0ms	(sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
18.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
9.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2)))) (sqrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5044	1143

prune83.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

regimes139.0ms

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

sample481.0ms

Algorithm

intervals

Results

234.0ms	7472×	body	80	valid
23.0ms	204×	body	640	valid
21.0ms	688×	body	80	invalid
12.0ms	149×	body	320	valid
12.0ms	90×	body	1280	valid
5.0ms	85×	body	160	valid

Details

analyze285.0ms

sample19.0ms

simplify6.0ms

prune12.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify57.0ms

prune36.0ms

localize6.0ms

rewrite13.0ms

series16.0ms

simplify42.0ms

prune42.0ms

localize9.0ms

rewrite29.0ms

series222.0ms

simplify55.0ms

prune110.0ms

localize7.0ms

rewrite43.0ms

series46.0ms

simplify41.0ms

prune83.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample481.0ms

Profiling