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
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (*.f64 x 3) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4913	115
1	4913	115

prune26.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.1b

Counts

22 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `pow-sqr_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

5.0ms	(.f64 x (.f64 x 3))
12.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
5.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 x (.f64 x 3))
8.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

simplify40.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5093	497

prune87.0ms

Filtered

53 candidates to 120 candidates (-126.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.4b	(*.f64 x (sqrt.f64 3))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

5.0ms	(.f64 x (.f64 x 3))
7.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
5.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 x (.f64 x 3))
8.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
4.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	485
1	4961	485

prune73.0ms

Filtered

49 candidates to 83 candidates (-69.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.3b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
1.0b	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
40×	`cbrt-prod_binary64`
24×	`pow1_binary64`
22×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`associate-l_binary64`
14×	`associate-r_binary64`
13×	`add-exp-log_binary64`
11×	`swap-sqr_binary64` `unswap-sqr_binary64`
9×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
6×	`pow1/3_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-pow1_binary64` `*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow1/2_binary64` `pow-plus_binary64` `pow2_binary64`

Counts

4 → 106

Calls

4 calls:

7.0ms	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
9.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
8.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series43.0ms

Counts

4 → 10

Calls

4 calls:

8.0ms	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
31.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
0.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

simplify77.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4899	864
1	4899	864

prune155.0ms

Filtered

69 candidates to 116 candidates (-68.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample212.0ms

Algorithm

intervals

Results

127.0ms

8000×

body

valid

Details

analyze3.0ms

sample9.0ms

simplify6.0ms

prune4.0ms

localize3.0ms

rewrite6.0ms

series3.0ms

simplify49.0ms

prune26.0ms

localize6.0ms

rewrite31.0ms

series19.0ms

simplify40.0ms

prune87.0ms

localize8.0ms

rewrite23.0ms

series19.0ms

simplify53.0ms

prune73.0ms

localize12.0ms

rewrite31.0ms

series43.0ms

simplify77.0ms

prune155.0ms

regimes82.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample212.0ms

Profiling