Details

analyze284.0ms

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
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune7.0ms

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 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
6.0ms	(.f64 (.f64 z z) 3)

series18.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
4.0ms	(.f64 (.f64 z z) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4940	295
1	4940	295

prune37.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
5.0ms	(.f64 z (.f64 z 3))

series20.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
4.0ms	(.f64 z (.f64 z 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5454	285

prune31.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z z) 3)
0.3b	(.f64 (sqrt.f64 (.f64 (.f64 z z) 3)) (sqrt.f64 (.f64 (*.f64 z z) 3)))
18.1b	(sqrt.f64 (.f64 (.f64 z z) 3))
18.1b	(sqrt.f64 (.f64 (.f64 z z) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `pow-sqr_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 109

Calls

4 calls:

6.0ms	(.f64 (.f64 z z) 3)
15.0ms	(.f64 (sqrt.f64 (.f64 (.f64 z z) 3)) (sqrt.f64 (.f64 (*.f64 z z) 3)))
5.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))
5.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (.f64 z z) 3)
9.0ms	(.f64 (sqrt.f64 (.f64 (.f64 z z) 3)) (sqrt.f64 (.f64 (*.f64 z z) 3)))
5.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))
5.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5205	531

prune76.0ms

Filtered

52 candidates to 121 candidates (-132.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (.f64 z z)) (.f64 (sqrt.f64 (.f64 (*.f64 z z) 3)) (sqrt.f64 3)))
0.5b	(.f64 (sqrt.f64 (.f64 (*.f64 z z) 3)) (sqrt.f64 3))
18.0b	(sqrt.f64 (*.f64 z z))
18.1b	(sqrt.f64 (.f64 (.f64 z z) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
38×	`pow-prod-down_binary64`
33×	`sqrt-pow1_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `sqrt-prod_binary64`
7×	`pow1/2_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`sqrt-unprod_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 z z)) (.f64 (sqrt.f64 (.f64 (*.f64 z z) 3)) (sqrt.f64 3)))
9.0ms	(.f64 (sqrt.f64 (.f64 (*.f64 z z) 3)) (sqrt.f64 3))
2.0ms	(sqrt.f64 (*.f64 z z))
4.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (.f64 z z)) (.f64 (sqrt.f64 (.f64 (*.f64 z z) 3)) (sqrt.f64 3)))
8.0ms	(.f64 (sqrt.f64 (.f64 (*.f64 z z) 3)) (sqrt.f64 3))
2.0ms	(sqrt.f64 (*.f64 z z))
5.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5116	692

prune71.0ms

Filtered

61 candidates to 95 candidates (-55.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes280.0ms

Accuracy

0% (0.1b 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

sample425.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
14.0ms	508×	body	80	invalid

Details

analyze284.0ms

sample17.0ms

simplify6.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series18.0ms

simplify58.0ms

prune37.0ms

localize6.0ms

rewrite11.0ms

series20.0ms

simplify42.0ms

prune31.0ms

localize9.0ms

rewrite36.0ms

series24.0ms

simplify52.0ms

prune76.0ms

localize11.0ms

rewrite34.0ms

series24.0ms

simplify64.0ms

prune71.0ms

regimes280.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample425.0ms

Profiling