Details

analyze13.0ms

Algorithm

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify238.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	5007	22

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: 20.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
20.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64`
2×	`pow1_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate-/r/_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 42

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y y))
13.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 (.f64 x x) (.f64 y y))
47.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5124	969

prune39.0ms

Filtered

39 candidates to 48 candidates (-23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.2b

Counts

49 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(/.f64 (-.f64 x y) (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y)))
19.9b	(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac_binary64`
161×	`*-un-lft-identity_binary64`
117×	`add-sqr-sqrt_binary64`
79×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64` `distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 177

Calls

3 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y y))
14.0ms	(/.f64 (-.f64 x y) (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y)))
9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))

series108.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 (.f64 x x) (.f64 y y))
42.0ms	(/.f64 (-.f64 x y) (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y)))
42.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))

simplify111.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5198	6506

prune93.0ms

Filtered

124 candidates to 186 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	186	4	190

Merged error: 0.2b

Counts

190 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.2b

Counts

4 → 4

regimes55.0ms

Accuracy

75.3% (4.9b remaining)

Error of 5.3b against oracle of 0.4b and baseline of 20.4b

bsearch60.0ms

Steps

Iters	Range		Point
8	1.4014404279214493e-168	1.2424986831545856e-165	3.651819525823324e-168
10	2.654262240760277e-199	2.3268755930818853e-185	2.6732150764241757e-189
8	-5.255423544168508e-162	-8.092142171173212e-165	-1.5746264713635804e-162
11	-2.49283375968346e+163	-6.623085040468148e+136	-1.3531740207737255e+154

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	71
1	38	71

end0.0ms

sample573.0ms

Algorithm

intervals

Results

283.0ms	8000×	body	80	valid
148.0ms	8000×	pre	80	true

Details

analyze13.0ms

sample19.0ms

simplify238.0ms

prune1.0ms

localize9.0ms

rewrite18.0ms

series67.0ms

simplify40.0ms

prune39.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune2.0ms

localize8.0ms

rewrite36.0ms

series108.0ms

simplify111.0ms

prune93.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune0.0ms

regimes55.0ms

bsearch60.0ms

simplify4.0ms

end0.0ms

sample573.0ms

Profiling