Details

analyze319.0ms

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	247×	body	128	valid
1.0ms	8×	body	1024	valid
1.0ms	19×	body	128	invalid
0.0ms	1×	body	512	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune1.0ms

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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite20.0ms

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` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
10.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series105.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(*.f64 x (+.f64 y z))
54.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

simplify56.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	518
1	4967	518

prune29.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))

rewrite14.0ms

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` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
7.0ms	(*.f64 z (+.f64 x 5))

series99.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
45.0ms	(*.f64 z (+.f64 x 5))

simplify73.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4961	518
1	4961	518

prune34.0ms

Filtered

29 candidates to 42 candidates (-44.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (+.f64 x 5))) (cbrt.f64 (*.f64 z (+.f64 x 5))))
0.5b	(cbrt.f64 (*.f64 z (+.f64 x 5)))
0.5b	(cbrt.f64 (*.f64 z (+.f64 x 5)))
0.5b	(cbrt.f64 (*.f64 z (+.f64 x 5)))

rewrite33.0ms

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 z (+.f64 x 5))) (cbrt.f64 (*.f64 z (+.f64 x 5))))
5.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
5.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
5.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(.f64 (cbrt.f64 (.f64 z (+.f64 x 5))) (cbrt.f64 (*.f64 z (+.f64 x 5))))
132.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
144.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
144.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))

simplify88.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5044	1404

prune97.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 z (+.f64 x 5)))
0.5b	(cbrt.f64 (*.f64 z (+.f64 x 5)))
0.7b	(cbrt.f64 z)
0.8b	(cbrt.f64 (+.f64 x 5))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
6×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-*r/_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 47

Calls

4 calls:

5.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
5.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
1.0ms	(cbrt.f64 z)
3.0ms	(cbrt.f64 (+.f64 x 5))

series484.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
137.0ms	(cbrt.f64 (*.f64 z (+.f64 x 5)))
159.0ms	(cbrt.f64 z)
49.0ms	(cbrt.f64 (+.f64 x 5))

simplify76.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4928	762
1	4928	762

prune75.0ms

Filtered

54 candidates to 59 candidates (-9.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

regimes55.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample421.0ms

Algorithm

intervals

Results

204.0ms	7697×	body	128	valid
18.0ms	637×	body	128	invalid
15.0ms	164×	body	1024	valid
6.0ms	89×	body	512	valid
2.0ms	49×	body	256	valid
0.0ms	1×	body	2048	valid

Details

analyze319.0ms

sample15.0ms

simplify9.0ms

prune1.0ms

localize6.0ms

rewrite20.0ms

series105.0ms

simplify56.0ms

prune29.0ms

localize6.0ms

rewrite14.0ms

series99.0ms

simplify73.0ms

prune34.0ms

localize11.0ms

rewrite33.0ms

series616.0ms

simplify88.0ms

prune97.0ms

localize16.0ms

rewrite20.0ms

series484.0ms

simplify76.0ms

prune75.0ms

regimes55.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample421.0ms

Profiling