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

sample19.0ms

Algorithm

intervals

Results

7.0ms	63×	body	640	valid
4.0ms	148×	body	80	valid
3.0ms	33×	body	320	valid
1.0ms	12×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	77	16
1	77	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: 15.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
1.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite48.0ms

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` `add-exp-log_binary64`
10×	`distribute-lft-out_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` `div-exp_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 124

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))
30.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series48.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 1 (-.f64 x 1))
7.0ms	(/.f64 1 (+.f64 x 1))
33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify108.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4857	2118
1	4857	2118

prune79.0ms

Filtered

72 candidates to 133 candidates (-84.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	1	134

Merged error: 0.5b

Counts

134 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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)))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5516	557

prune29.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.4b

Counts

33 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite23.0ms

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:

13.0ms	(/.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)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
48.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
51.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
55.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5070	1523

prune105.0ms

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: 0.4b

Counts

85 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
47.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
52.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
52.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify133.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4824	1156
1	4824	1156

prune117.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.4b

Counts

70 → 6

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample587.0ms

Algorithm

intervals

Results

222.0ms	1938×	body	640	valid
126.0ms	4208×	body	80	valid
104.0ms	1244×	body	320	valid
34.0ms	610×	body	160	valid

Details

analyze4.0ms

sample19.0ms

simplify15.0ms

prune2.0ms

localize10.0ms

rewrite48.0ms

series48.0ms

simplify108.0ms

prune79.0ms

localize4.0ms

rewrite6.0ms

series21.0ms

simplify90.0ms

prune29.0ms

localize8.0ms

rewrite23.0ms

series228.0ms

simplify78.0ms

prune105.0ms

localize14.0ms

rewrite12.0ms

series202.0ms

simplify133.0ms

prune117.0ms

regimes16.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample587.0ms

Profiling