Details

analyze254.0ms

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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
7.0ms	(*.f64 y (+.f64 z x))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
8.0ms	(*.f64 y (+.f64 z x))

simplify63.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune35.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`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`
1×	`associate-+r+_binary64`

Counts

2 → 26

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
8.0ms	(+.f64 (.f64 y z) (.f64 y x))

simplify58.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5072	279

prune24.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.2b	(.f64 (sqrt.f64 (.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
3.7b	(sqrt.f64 (*.f64 y (+.f64 z x)))
3.7b	(sqrt.f64 (*.f64 y (+.f64 z x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 106

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 z x))
14.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
5.0ms	(sqrt.f64 (*.f64 y (+.f64 z x)))
5.0ms	(sqrt.f64 (*.f64 y (+.f64 z x)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 y (+.f64 z x))
8.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
17.0ms	(sqrt.f64 (*.f64 y (+.f64 z x)))
20.0ms	(sqrt.f64 (*.f64 y (+.f64 z x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4960	888
1	4960	888

prune66.0ms

Filtered

69 candidates to 118 candidates (-71.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	118	2	120

Merged error: 0b

Counts

120 → 2

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample369.0ms

Algorithm

intervals

Results

175.0ms	8000×	body	80	valid
20.0ms	570×	body	80	invalid

Details

analyze254.0ms

sample15.0ms

simplify7.0ms

prune5.0ms

localize5.0ms

rewrite11.0ms

series16.0ms

simplify63.0ms

prune35.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify58.0ms

prune24.0ms

localize7.0ms

rewrite34.0ms

series52.0ms

simplify49.0ms

prune66.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample369.0ms

Profiling