Details

analyze340.0ms

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
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

sample54.0ms

Algorithm

intervals

Results

29.0ms	131×	body	5120	exit
7.0ms	196×	body	80	valid
3.0ms	30×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	16×	body	160	valid
0.0ms	7×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	6196	12

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.5b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-+r-_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 91

Calls

3 calls:

5.0ms	(/.f64 x (exp.f64 wj))
12.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 x (exp.f64 wj))
13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
12.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5860	1345

prune103.0ms

Filtered

73 candidates to 100 candidates (-37.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0.2b

Counts

101 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
2×	`associate-+r+_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x -2))))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x -2))))

simplify24.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5262	191

prune26.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.2b

Counts

18 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))) (cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (*.f64 x -2))))))
0.6b	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))) (cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (*.f64 x -2))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))) (cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (*.f64 x -2))))))
48.0ms	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))
50.0ms	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))
48.0ms	(cbrt.f64 (+.f64 x (.f64 wj (+.f64 wj (.f64 x -2)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5089	1942

prune152.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.2b

Counts

104 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
0.0b	(*.f64 x (exp.f64 (neg.f64 wj)))
4.5b	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/r*_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `div-sub_binary64` `exp-neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-+r-_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
7.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))
14.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
7.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))
11.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5176	950

prune65.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	79	6	85

Merged error: 0.2b

Counts

85 → 6

regimes97.0ms

Accuracy

0% (1.7b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

849.0ms	3729×	body	5120	exit
241.0ms	6243×	body	80	valid
90.0ms	762×	body	320	valid
82.0ms	469×	body	640	valid
42.0ms	526×	body	160	valid
3.0ms	80×	body	80	invalid
1.0ms	15×	body	80	overflowed

Details

analyze340.0ms

sample54.0ms

simplify73.0ms

prune10.0ms

localize8.0ms

rewrite38.0ms

series38.0ms

simplify58.0ms

prune103.0ms

localize6.0ms

rewrite4.0ms

series8.0ms

simplify24.0ms

prune26.0ms

localize12.0ms

rewrite20.0ms

series208.0ms

simplify39.0ms

prune152.0ms

localize10.0ms

rewrite36.0ms

series32.0ms

simplify56.0ms

prune65.0ms

regimes97.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling