Details

analyze12.0ms

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%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify517.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5496	6

prune4.0ms

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: 27.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2.0 (pow.f64 x 2.0))
27.1b	(sqrt.f64 (*.f64 2.0 (pow.f64 x 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64` `add-exp-log_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(*.f64 2.0 (pow.f64 x 2.0))
5.0ms	(sqrt.f64 (*.f64 2.0 (pow.f64 x 2.0)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(*.f64 2.0 (pow.f64 x 2.0))
74.0ms	(sqrt.f64 (*.f64 2.0 (pow.f64 x 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4912	287
1	4912	287

prune56.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 14.0b

Counts

42 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2.0))
0.3b	(.f64 (sqrt.f64 2.0) (.f64 (pow.f64 x 2.0) (sqrt.f64 2.0)))
27.1b	(sqrt.f64 (.f64 (sqrt.f64 2.0) (.f64 (pow.f64 x 2.0) (sqrt.f64 2.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
13×	`associate-l_binary64`
10×	`add-cbrt-cube_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
7×	`associate-r_binary64`
6×	`unswap-sqr_binary64`
5×	`unpow-prod-down_binary64`
4×	`cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `sqr-pow_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sqrt-pow1_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2.0))
8.0ms	(.f64 (sqrt.f64 2.0) (.f64 (pow.f64 x 2.0) (sqrt.f64 2.0)))
6.0ms	(sqrt.f64 (.f64 (sqrt.f64 2.0) (.f64 (pow.f64 x 2.0) (sqrt.f64 2.0))))

series202.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2.0))
69.0ms	(.f64 (sqrt.f64 2.0) (.f64 (pow.f64 x 2.0) (sqrt.f64 2.0)))
67.0ms	(sqrt.f64 (.f64 (sqrt.f64 2.0) (.f64 (pow.f64 x 2.0) (sqrt.f64 2.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4985	557
1	4985	557

prune64.0ms

Filtered

45 candidates to 73 candidates (-62.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 14.0b

Counts

79 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (sqrt.f64 2.0) (pow.f64 x 2.0))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (.f64 (sqrt.f64 2.0) (pow.f64 x 2.0))))
27.1b	(sqrt.f64 (*.f64 (sqrt.f64 2.0) (pow.f64 x 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
20×	`sqrt-prod_binary64`
15×	`associate-l_binary64`
11×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1_binary64`
7×	`add-cbrt-cube_binary64`
5×	`unpow-prod-down_binary64`
4×	`prod-exp_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64`
2×	`cbrt-unprod_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `sqrt-unprod_binary64` `pow-exp_binary64`

Counts

3 → 71

Calls

3 calls:

7.0ms	(*.f64 (sqrt.f64 2.0) (pow.f64 x 2.0))
10.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (.f64 (sqrt.f64 2.0) (pow.f64 x 2.0))))
4.0ms	(sqrt.f64 (*.f64 (sqrt.f64 2.0) (pow.f64 x 2.0)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(*.f64 (sqrt.f64 2.0) (pow.f64 x 2.0))
66.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (.f64 (sqrt.f64 2.0) (pow.f64 x 2.0))))
69.0ms	(sqrt.f64 (*.f64 (sqrt.f64 2.0) (pow.f64 x 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4926	794
1	4926	794

prune78.0ms

Filtered

53 candidates to 80 candidates (-50.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	81	6	87

Merged error: 13.9b

Counts

87 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (pow.f64 x 2.0)))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (pow.f64 x 2.0))))
27.0b	(sqrt.f64 (pow.f64 x 2.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

53×	`sqrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
18×	`associate-l_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`unswap-sqr_binary64`
11×	`associate-r_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`pow-prod-down_binary64`
6×	`pow1/2_binary64` `sqr-pow_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64`
2×	`*-commutative_binary64`
1×	`sqrt-pow1_binary64`

Counts

3 → 89

Calls

3 calls:

13.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (pow.f64 x 2.0)))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (pow.f64 x 2.0))))
3.0ms	(sqrt.f64 (pow.f64 x 2.0))

series189.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (pow.f64 x 2.0)))
66.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (sqrt.f64 (sqrt.f64 2.0)) (sqrt.f64 (pow.f64 x 2.0))))
57.0ms	(sqrt.f64 (pow.f64 x 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4942	944
1	4942	944

prune86.0ms

Filtered

62 candidates to 98 candidates (-58.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	97	7	104

Merged error: 0.1b

Counts

104 → 7

regimes174.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample404.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid

Details

analyze12.0ms

sample17.0ms

simplify517.0ms

prune4.0ms

localize6.0ms

rewrite22.0ms

series139.0ms

simplify56.0ms

prune56.0ms

localize6.0ms

rewrite23.0ms

series202.0ms

simplify45.0ms

prune64.0ms

localize8.0ms

rewrite24.0ms

series200.0ms

simplify67.0ms

prune78.0ms

localize8.0ms

rewrite31.0ms

series189.0ms

simplify62.0ms

prune86.0ms

regimes174.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

Profiling