Details

analyze124.0ms

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4934	11
1	4934	11

prune3.0ms

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: 9.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
9.2b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`flip3-+_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+.f64 (/.f64 x y) 1)
13.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (/.f64 x y) 1)
5.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5105	677

prune77.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.0b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
72×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
43×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
6×	`div-inv_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×	`+-commutative_binary64` `sum-log_binary64`

Counts

3 → 158

Calls

3 calls:

7.0ms	(+.f64 (/.f64 x y) 1)
14.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

series18.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (/.f64 x y) 1)
7.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
8.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

simplify70.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5337	2717

prune143.0ms

Filtered

109 candidates to 167 candidates (-53.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	168	5	173

Merged error: 0.0b

Counts

173 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 (/.f64 x y)))
0.2b	(cbrt.f64 (+.f64 1 (/.f64 x y)))
0.2b	(cbrt.f64 (+.f64 (/.f64 x y) 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
7.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
7.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
17.0ms	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
25.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
29.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1))
34.0ms	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5163	1095

prune113.0ms

Filtered

73 candidates to 107 candidates (-46.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 x y)) x)
0.1b	(*.f64 x (/.f64 x y))
9.2b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

6.0ms	(+.f64 (*.f64 x (/.f64 x y)) x)
7.0ms	(*.f64 x (/.f64 x y))
11.0ms	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (*.f64 x (/.f64 x y)) x)
4.0ms	(*.f64 x (/.f64 x y))
7.0ms	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))

simplify68.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5327	964

prune64.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample418.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
10.0ms	289×	body	80	invalid

Details

analyze124.0ms

sample17.0ms

simplify93.0ms

prune3.0ms

localize7.0ms

rewrite35.0ms

series15.0ms

simplify39.0ms

prune77.0ms

localize8.0ms

rewrite41.0ms

series18.0ms

simplify70.0ms

prune143.0ms

localize15.0ms

rewrite40.0ms

series113.0ms

simplify71.0ms

prune113.0ms

localize7.0ms

rewrite26.0ms

series16.0ms

simplify68.0ms

prune64.0ms

regimes88.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample418.0ms

Profiling