Details

analyze3.0ms

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

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune4.0ms

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: 27.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.1b

(sqrt.f64 (*.f64 (*.f64 2.0 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64`
3×	`pow-prod-down_binary64` `sqrt-pow1_binary64`
1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(sqrt.f64 (*.f64 (*.f64 2.0 x) x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 (*.f64 2.0 x) x))

simplify127.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune28.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.1b

Counts

16 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2.0 x))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2.0 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2.0 x)))))
27.1b	(sqrt.f64 (.f64 x (.f64 2.0 x)))
27.1b	(sqrt.f64 (.f64 x (.f64 2.0 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

158×	`pow1_binary64`
154×	`sqrt-pow1_binary64`
82×	`pow-prod-down_binary64`
33×	`sqrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`pow1/2_binary64`
21×	`pow-prod-up_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `pow-sqr_binary64`
9×	`swap-sqr_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 130

Calls

4 calls:

5.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2.0 x))))
16.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2.0 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2.0 x)))))
4.0ms	(sqrt.f64 (.f64 x (.f64 2.0 x)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2.0 x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2.0 x))))
5.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2.0 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2.0 x)))))
7.0ms	(sqrt.f64 (.f64 x (.f64 2.0 x)))
5.0ms	(sqrt.f64 (.f64 x (.f64 2.0 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4936	783
1	4936	783

prune100.0ms

Filtered

68 candidates to 142 candidates (-108.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	6	142
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	137	10	147

Merged error: 0.1b

Counts

147 → 10

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 2.0))))
0.4b	(*.f64 x (sqrt.f64 2.0))
0.4b	(*.f64 x (sqrt.f64 2.0))
0.5b	(.f64 (sqrt.f64 (fabs.f64 (.f64 x (sqrt.f64 2.0)))) (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 2.0)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
29×	`sqrt-prod_binary64`
24×	`pow1_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`associate-r_binary64`
12×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64` `unswap-sqr_binary64`
5×	`pow-prod-down_binary64` `pow-prod-up_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 106

Calls

4 calls:

1.0ms	(sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 2.0))))
5.0ms	(*.f64 x (sqrt.f64 2.0))
5.0ms	(*.f64 x (sqrt.f64 2.0))
6.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 x (sqrt.f64 2.0)))) (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 2.0)))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 2.0))))
5.0ms	(*.f64 x (sqrt.f64 2.0))
5.0ms	(*.f64 x (sqrt.f64 2.0))
4.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 x (sqrt.f64 2.0)))) (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 2.0)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5070	723

prune96.0ms

Filtered

58 candidates to 118 candidates (-103.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	117	11	128

Merged error: 0.0b

Counts

128 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (sqrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))
0.4b	(*.f64 x (sqrt.f64 2.0))
0.5b	(.f64 (sqrt.f64 (fabs.f64 (.f64 x (sqrt.f64 2.0)))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0))))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
35×	`sqrt-prod_binary64`
30×	`associate-r_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
17×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-l_binary64`
9×	`unswap-sqr_binary64`
8×	`pow-prod-down_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64`
1×	`sqrt-unprod_binary64`

Counts

4 → 102

Calls

4 calls:

6.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2.0)))
10.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))
5.0ms	(*.f64 x (sqrt.f64 2.0))
6.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 x (sqrt.f64 2.0)))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0))))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 2.0)))
5.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))
5.0ms	(*.f64 x (sqrt.f64 2.0))
2.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 x (sqrt.f64 2.0)))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0))))))

simplify66.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4977	749
1	4977	749

prune89.0ms

Filtered

63 candidates to 114 candidates (-81.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	114	11	125

Merged error: 0.0b

Counts

125 → 11

regimes133.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample261.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify4.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify127.0ms

prune28.0ms

localize6.0ms

rewrite34.0ms

series25.0ms

simplify47.0ms

prune100.0ms

localize6.0ms

rewrite21.0ms

series18.0ms

simplify54.0ms

prune96.0ms

localize13.0ms

rewrite31.0ms

series20.0ms

simplify66.0ms

prune89.0ms

regimes133.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample261.0ms

Profiling