Details

analyze627.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample27.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	113×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5007	13

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 14.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
1.3b	(-.f64 (.f64 z z) (.f64 x x))
14.2b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))
7.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

series36.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(-.f64 (.f64 z z) (.f64 x x))
17.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4921	916
1	4921	916

prune83.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
0.0b	(/.f64 (-.f64 z x) y)
0.2b	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
4×	`associate-l_binary64`
3×	`associate-/r*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 92

Calls

3 calls:

11.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
6.0ms	(/.f64 (-.f64 z x) y)
13.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

series33.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
7.0ms	(/.f64 (-.f64 z x) y)
13.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5076	1086

prune85.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac_binary64`
164×	`*-un-lft-identity_binary64`
127×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
22×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
20×	`distribute-lft-out--_binary64`
13×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `flip-+_binary64`

Counts

3 → 178

Calls

3 calls:

38.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
6.0ms	(/.f64 y (-.f64 z x))
13.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
8.0ms	(/.f64 y (-.f64 z x))
13.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5109	2861

prune135.0ms

Filtered

121 candidates to 187 candidates (-54.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	187	5	192

Merged error: 0b

Counts

192 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (/.f64 y (-.f64 (.f64 z z) (.f64 x x)))) y)
0.8b	(/.f64 1 (/.f64 y (-.f64 (.f64 z z) (.f64 x x))))
1.3b	(-.f64 (.f64 z z) (.f64 x x))
13.8b	(/.f64 y (-.f64 (.f64 z z) (.f64 x x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac_binary64`
78×	`add-sqr-sqrt_binary64`
69×	`*-un-lft-identity_binary64`
64×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64` `difference-of-squares_binary64`
17×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
8×	`add-log-exp_binary64` `div-exp_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`associate-/l*_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 159

Calls

4 calls:

28.0ms	(-.f64 (/.f64 1 (/.f64 y (-.f64 (.f64 z z) (.f64 x x)))) y)
10.0ms	(/.f64 1 (/.f64 y (-.f64 (.f64 z z) (.f64 x x))))
4.0ms	(-.f64 (.f64 z z) (.f64 x x))
6.0ms	(/.f64 y (-.f64 (.f64 z z) (.f64 x x)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (/.f64 1 (/.f64 y (-.f64 (.f64 z z) (.f64 x x)))) y)
21.0ms	(/.f64 1 (/.f64 y (-.f64 (.f64 z z) (.f64 x x))))
6.0ms	(-.f64 (.f64 z z) (.f64 x x))
18.0ms	(/.f64 y (-.f64 (.f64 z z) (.f64 x x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5015	2616

prune122.0ms

Filtered

114 candidates to 171 candidates (-50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	171	5	176

Merged error: 0b

Counts

176 → 5

regimes332.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample706.0ms

Algorithm

intervals

Results

340.0ms	8000×	body	80	valid
127.0ms	2929×	body	80	invalid

Details

analyze627.0ms

sample27.0ms

simplify49.0ms

prune10.0ms

localize8.0ms

rewrite23.0ms

series36.0ms

simplify65.0ms

prune83.0ms

localize11.0ms

rewrite34.0ms

series33.0ms

simplify56.0ms

prune85.0ms

localize8.0ms

rewrite67.0ms

series34.0ms

simplify58.0ms

prune135.0ms

localize10.0ms

rewrite55.0ms

series59.0ms

simplify56.0ms

prune122.0ms

regimes332.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample706.0ms

Profiling