Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	74×	body	512	valid
4.0ms	133×	body	128	valid
2.0ms	21×	body	1024	valid
1.0ms	28×	body	256	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 15.7b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
2.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64`
10×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 122

Calls

3 calls:

5.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))
36.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 1 (+.f64 x 1))
18.0ms	(/.f64 1 (-.f64 x 1))
72.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify88.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4869	2102
1	4869	2102

prune81.0ms

Filtered

72 candidates to 131 candidates (-81.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Merged error: 0.5b

Counts

132 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5529	557

prune32.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0.5b

Counts

34 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
17.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 68

Calls

4 calls:

11.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
92.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
80.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
98.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5058	1523

prune103.0ms

Filtered

69 candidates to 80 candidates (-15.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.5b

Counts

85 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
1.0b	(cbrt.f64 -2)
17.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt.f64 -2)
1.0ms	(cbrt.f64 -2)
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series184.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt.f64 -2)
0.0ms	(cbrt.f64 -2)
84.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
99.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5038	720

prune84.0ms

Filtered

50 candidates to 56 candidates (-12.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	56	6	62

Merged error: 0.5b

Counts

62 → 6

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample478.0ms

Algorithm

intervals

Results

161.0ms	2019×	body	512	valid
127.0ms	4579×	body	128	valid
50.0ms	976×	body	256	valid
46.0ms	426×	body	1024	valid

Details

analyze4.0ms

sample17.0ms

simplify11.0ms

prune2.0ms

localize6.0ms

rewrite58.0ms

series107.0ms

simplify88.0ms

prune81.0ms

localize5.0ms

rewrite7.0ms

series40.0ms

simplify75.0ms

prune32.0ms

localize8.0ms

rewrite26.0ms

series396.0ms

simplify67.0ms

prune103.0ms

localize12.0ms

rewrite12.0ms

series184.0ms

simplify69.0ms

prune84.0ms

regimes15.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample478.0ms

Profiling