Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify200.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	5640	14

prune2.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-+l+_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
7.0ms	(*.f64 6 (-.f64 x 1))
12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
4.0ms	(*.f64 6 (-.f64 x 1))
9.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

simplify27.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5029	890

prune85.0ms

Filtered

55 candidates to 73 candidates (-32.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.0b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
27×	`associate-r_binary64` `add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`difference-of-sqr-1_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-+l+_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `-commutative_binary64`

Counts

3 → 107

Calls

3 calls:

7.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
19.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
9.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
9.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4941	2084
1	4941	2084

prune127.0ms

Filtered

85 candidates to 116 candidates (-36.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 -1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(+.f64 6 (*.f64 -6 x))
0.1b	(/.f64 (+.f64 6 (.f64 -6 x)) (-.f64 (-.f64 -1 x) (.f64 4 (sqrt.f64 x))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `diff-log_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`associate--l-_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

3 → 56

Calls

3 calls:

8.0ms	(-.f64 (-.f64 -1 x) (*.f64 4 (sqrt.f64 x)))
3.0ms	(+.f64 6 (*.f64 -6 x))
11.0ms	(/.f64 (+.f64 6 (.f64 -6 x)) (-.f64 (-.f64 -1 x) (.f64 4 (sqrt.f64 x))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 (-.f64 -1 x) (*.f64 4 (sqrt.f64 x)))
4.0ms	(+.f64 6 (*.f64 -6 x))
10.0ms	(/.f64 (+.f64 6 (.f64 -6 x)) (-.f64 (-.f64 -1 x) (.f64 4 (sqrt.f64 x))))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5079	1052

prune77.0ms

Filtered

54 candidates to 65 candidates (-20.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.2b	(.f64 (/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))) (/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
0.2b	(/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
0.3b	(/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

160×	`add-sqr-sqrt_binary64`
132×	`times-frac_binary64`
116×	`*-un-lft-identity_binary64`
77×	`add-cube-cbrt_binary64`
75×	`sqrt-prod_binary64`
48×	`associate-r_binary64`
26×	`difference-of-squares_binary64`
24×	`associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
10×	`associate-/l*_binary64` `sqrt-div_binary64`
9×	`unswap-sqr_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `rem-sqrt-square_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 229

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
44.0ms	(.f64 (/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))) (/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
9.0ms	(/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
13.0ms	(/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
10.0ms	(.f64 (/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))) (/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
18.0ms	(/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
16.0ms	(/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4958	5705
1	4958	5705

prune304.0ms

Filtered

149 candidates to 241 candidates (-61.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	241	5	246

Merged error: 0b

Counts

246 → 5

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample403.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid

Details

analyze3.0ms

sample20.0ms

simplify200.0ms

prune2.0ms

localize9.0ms

rewrite28.0ms

series18.0ms

simplify27.0ms

prune85.0ms

localize8.0ms

rewrite41.0ms

series22.0ms

simplify52.0ms

prune127.0ms

localize9.0ms

rewrite24.0ms

series19.0ms

simplify44.0ms

prune77.0ms

localize11.0ms

rewrite84.0ms

series52.0ms

simplify77.0ms

prune304.0ms

regimes64.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample403.0ms

Profiling