Details

analyze145.0ms

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	320	9
1	320	9

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
0.0b	(/.f64 (*.f64 x y) 2)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
3×	`associate-/r*_binary64`
2×	`pow1_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

2 → 36

Calls

2 calls:

11.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
5.0ms	(/.f64 (*.f64 x y) 2)

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
4.0ms	(/.f64 (*.f64 x y) 2)

simplify56.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4985	390
1	4985	390

prune29.0ms

Filtered

29 candidates to 42 candidates (-44.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 y (sqrt.f64 2))) (/.f64 z 8))
0.3b	(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 y (sqrt.f64 2)))
0.5b	(/.f64 x (sqrt.f64 2))
0.5b	(/.f64 y (sqrt.f64 2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
48×	`sqrt-prod_binary64`
22×	`associate-r_binary64` `associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`frac-sub_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 165

Calls

4 calls:

12.0ms	(-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 y (sqrt.f64 2))) (/.f64 z 8))
18.0ms	(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 y (sqrt.f64 2)))
4.0ms	(/.f64 x (sqrt.f64 2))
4.0ms	(/.f64 y (sqrt.f64 2))

series55.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 y (sqrt.f64 2))) (/.f64 z 8))
20.0ms	(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 y (sqrt.f64 2)))
6.0ms	(/.f64 x (sqrt.f64 2))
7.0ms	(/.f64 y (sqrt.f64 2))

simplify65.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4928	1578
1	4928	1578

prune162.0ms

Filtered

114 candidates to 177 candidates (-55.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	177	3	180

Merged error: 0b

Counts

180 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z z) 1/64)
0.2b	(.f64 (.f64 x y) (*.f64 x y))
2.6b	(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) 4) (.f64 (*.f64 z z) 1/64))
26.1b	(/.f64 (-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) 4) (.f64 (.f64 z z) 1/64)) (+.f64 (/.f64 (.f64 x y) 2) (/.f64 z 8)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`*-un-lft-identity_binary64`
20×	`pow-prod-down_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64`
4×	`associate-/r_binary64` `distribute-lft-out_binary64` `associate-r*_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
3×	`associate-/r/_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-l_binary64` `pow-plus_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `swap-sqr_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `pow2_binary64`

Counts

4 → 101

Calls

4 calls:

11.0ms	(.f64 (.f64 z z) 1/64)
12.0ms	(.f64 (.f64 x y) (*.f64 x y))
19.0ms	(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) 4) (.f64 (*.f64 z z) 1/64))
41.0ms	(/.f64 (-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) 4) (.f64 (.f64 z z) 1/64)) (+.f64 (/.f64 (.f64 x y) 2) (/.f64 z 8)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 (.f64 z z) 1/64)
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
20.0ms	(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) 4) (.f64 (*.f64 z z) 1/64))
35.0ms	(/.f64 (-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) 4) (.f64 (.f64 z z) 1/64)) (+.f64 (/.f64 (.f64 x y) 2) (/.f64 z 8)))

simplify34.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4979	1867
1	4979	1867

prune56.0ms

Filtered

64 candidates to 113 candidates (-76.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes232.0ms

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	27	9
1	27	9

end0.0ms

sample428.0ms

Algorithm

intervals

Results

245.0ms	8000×	body	80	valid
15.0ms	503×	body	80	invalid

Details

analyze145.0ms

sample16.0ms

simplify19.0ms

prune2.0ms

localize7.0ms

rewrite17.0ms

series13.0ms

simplify56.0ms

prune29.0ms

localize8.0ms

rewrite45.0ms

series55.0ms

simplify65.0ms

prune162.0ms

localize23.0ms

rewrite88.0ms

series66.0ms

simplify34.0ms

prune56.0ms

regimes232.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample428.0ms

Profiling