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

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune3.0ms

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: 28.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.0b

(sqrt.f64 (*.f64 (*.f64 2 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 x) x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify124.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4674	80
1	4674	80

prune23.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	9	6	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	7	16

Merged error: 0.1b

Counts

16 → 7

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x)))))
27.0b	(sqrt.f64 (.f64 x (.f64 2 x)))
27.0b	(sqrt.f64 (.f64 x (.f64 2 x)))

rewrite35.0ms

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 x))))
16.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x)))))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
4.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 2 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x)))))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4942	830
1	4942	830

prune55.0ms

Filtered

67 candidates to 142 candidates (-111.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	142	7	149

Merged error: 0.1b

Counts

149 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x))))))
0.7b	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 3)
27.0b	(sqrt.f64 (.f64 x (.f64 x 2)))
27.0b	(sqrt.f64 (.f64 x (.f64 2 x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

104×	`sqrt-prod_binary64`
66×	`add-sqr-sqrt_binary64`
29×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`associate-l_binary64`
25×	`pow1_binary64`
24×	`unswap-sqr_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-pow1_binary64`
10×	`associate-r_binary64` `add-exp-log_binary64`
9×	`pow-prod-down_binary64` `pow-pow_binary64`
7×	`add-cbrt-cube_binary64`
5×	`pow1/2_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-unprod_binary64` `sqrt-pow2_binary64` `rem-cube-cbrt_binary64` `*-commutative_binary64`

Counts

4 → 142

Calls

4 calls:

19.0ms	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x))))))
8.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 3)
4.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 2 x))))))
30.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 2))))) 3)
7.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4915	1621
1	4915	1621

prune70.0ms

Filtered

70 candidates to 154 candidates (-120.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Merged error: 0.1b

Counts

161 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (sqrt.f64 2))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 x (sqrt.f64 2))

simplify35.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4888	133
1	4888	133

prune10.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	23	9	32

Merged error: 0.0b

Counts

32 → 9

regimes102.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.0b

bsearch14.0ms

Steps

Iters	Range		Point
12	-2.0277624387170858e-307	5.379442571176017e-265	-9.3091014976277e-311

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	21
1	51	21

end0.0ms

sample283.0ms

Algorithm

intervals

Results

190.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify5.0ms

prune3.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify124.0ms

prune23.0ms

localize6.0ms

rewrite35.0ms

series20.0ms

simplify65.0ms

prune55.0ms

localize14.0ms

rewrite41.0ms

series46.0ms

simplify63.0ms

prune70.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify35.0ms

prune10.0ms

regimes102.0ms

bsearch14.0ms

simplify2.0ms

end0.0ms

sample283.0ms

Profiling