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

sample15.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_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`
1×	`pow-prod-down_binary64` `flip3-+_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` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4928	701
1	4928	701

prune44.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 94

Calls

2 calls:

11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
17.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))

series18.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5010	1899

prune65.0ms

Filtered

69 candidates to 100 candidates (-44.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Merged error: 0b

Counts

104 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
26×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
22×	`associate-r_binary64`
20×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
18×	`times-frac_binary64`
13×	`prod-exp_binary64`
11×	`pow1_binary64`
7×	`cbrt-unprod_binary64` `associate-*r/_binary64`
6×	`div-exp_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-l_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64`

Counts

3 → 103

Calls

3 calls:

7.0ms	(*.f64 6 (-.f64 x 1))
9.0ms	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
15.0ms	(.f64 (.f64 6 (-.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 6 (-.f64 x 1))
7.0ms	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
9.0ms	(.f64 (.f64 6 (-.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4998	1566
1	4998	1566

prune65.0ms

Filtered

69 candidates to 112 candidates (-62.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac_binary64`
31×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
7×	`associate-r_binary64` `cbrt-undiv_binary64`
6×	`pow1_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`prod-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 115

Calls

3 calls:

7.0ms	(*.f64 6 (-.f64 x 1))
13.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
12.0ms	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 6 (-.f64 x 1))
9.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
8.0ms	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5037	2098

prune74.0ms

Filtered

80 candidates to 124 candidates (-55.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes27.0ms

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

sample412.0ms

Algorithm

intervals

Results

317.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze3.0ms

sample15.0ms

simplify193.0ms

prune2.0ms

localize8.0ms

rewrite20.0ms

series13.0ms

simplify57.0ms

prune44.0ms

localize8.0ms

rewrite31.0ms

series18.0ms

simplify35.0ms

prune65.0ms

localize9.0ms

rewrite35.0ms

series20.0ms

simplify32.0ms

prune65.0ms

localize9.0ms

rewrite36.0ms

series21.0ms

simplify52.0ms

prune74.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample412.0ms

Profiling