Details

analyze276.0ms

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

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	14×	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)

rewrite12.0ms

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:

12.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
6.0ms	(.f64 (.f64 z z) 3)

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	295
1	4940	295

prune45.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

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))

series16.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
3.0ms	(.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

prune39.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

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)))
21.8b	(sqrt.f64 (.f64 (.f64 z z) 3))
21.8b	(sqrt.f64 (.f64 (.f64 z z) 3))

rewrite34.0ms

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)
14.0ms	(.f64 (sqrt.f64 (.f64 (.f64 z z) 3)) (sqrt.f64 (.f64 (*.f64 z z) 3)))
4.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))
4.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 (.f64 z z) 3)
8.0ms	(.f64 (sqrt.f64 (.f64 (.f64 z z) 3)) (sqrt.f64 (.f64 (*.f64 z z) 3)))
4.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))
4.0ms	(sqrt.f64 (.f64 (.f64 z z) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5205	531

prune73.0ms

Filtered

51 candidates to 121 candidates (-137.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (cbrt.f64 (.f64 (pow.f64 z 6) 27)))
0.0b	(*.f64 (pow.f64 z 6) 27)
26.1b	(cbrt.f64 (*.f64 (pow.f64 z 6) 27))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
8×	`add-exp-log_binary64`
7×	`associate-l_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `+-commutative_binary64` `flip-+_binary64` `cbrt-prod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

4.0ms	(+.f64 (.f64 x y) (cbrt.f64 (.f64 (pow.f64 z 6) 27)))
5.0ms	(*.f64 (pow.f64 z 6) 27)
3.0ms	(cbrt.f64 (*.f64 (pow.f64 z 6) 27))

series23.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (.f64 x y) (cbrt.f64 (.f64 (pow.f64 z 6) 27)))
6.0ms	(*.f64 (pow.f64 z 6) 27)
4.0ms	(cbrt.f64 (*.f64 (pow.f64 z 6) 27))

simplify62.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4884	440
1	4884	440

prune47.0ms

Filtered

36 candidates to 54 candidates (-50.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

regimes269.0ms

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	11	9
1	11	9

end0.0ms

sample417.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
13.0ms	466×	body	80	invalid

Details

analyze276.0ms

sample16.0ms

simplify6.0ms

prune7.0ms

localize6.0ms

rewrite12.0ms

series18.0ms

simplify54.0ms

prune45.0ms

localize6.0ms

rewrite11.0ms

series16.0ms

simplify42.0ms

prune39.0ms

localize9.0ms

rewrite34.0ms

series20.0ms

simplify60.0ms

prune73.0ms

localize8.0ms

rewrite14.0ms

series23.0ms

simplify62.0ms

prune47.0ms

regimes269.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample417.0ms

Profiling