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%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune2.0ms

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: 0.0b

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
8.0ms	(*.f64 y (-.f64 z x))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
16.0ms	(*.f64 y (-.f64 z x))

simplify57.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune24.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 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))))
3.1b	(sqrt.f64 (*.f64 y (-.f64 z x)))
3.1b	(sqrt.f64 (*.f64 y (-.f64 z x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-div_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
8×	`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×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(*.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)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 z x))
37.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))))
17.0ms	(sqrt.f64 (*.f64 y (-.f64 z x)))
19.0ms	(sqrt.f64 (*.f64 y (-.f64 z x)))

simplify33.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4965	893
1	4965	893

prune36.0ms

Filtered

70 candidates to 119 candidates (-70.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0.0b

Counts

121 → 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	18	7
1	18	7

end0.0ms

sample363.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	80	valid
13.0ms	594×	body	80	invalid

Details

analyze254.0ms

sample15.0ms

simplify13.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series24.0ms

simplify57.0ms

prune24.0ms

localize7.0ms

rewrite35.0ms

series80.0ms

simplify33.0ms

prune36.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample363.0ms

Profiling