Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample33.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

simplify43.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune41.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 0.0b

Counts

28 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
0.1b	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.1b	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.5b	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
7.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
17.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
69.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
67.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
10.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

simplify28.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5773	1243

prune87.0ms

Filtered

69 candidates to 119 candidates (-72.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.3b	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
8.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
9.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
16.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
23.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
28.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	1100
1	4939	1100

prune77.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.3b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.5b	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1_binary64`
41×	`pow-prod-down_binary64`
30×	`add-sqr-sqrt_binary64`
29×	`sqrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
21×	`pow1/2_binary64` `sqrt-pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-*r/_binary64` `sqrt-div_binary64`
17×	`associate-r_binary64`
13×	`add-cube-cbrt_binary64` `associate-l_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
8×	`pow-prod-up_binary64` `unswap-sqr_binary64`
7×	`sqrt-unprod_binary64`
6×	`pow-sqr_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`*-commutative_binary64`
2×	`pow-plus_binary64` `associate-*l/_binary64`
1×	`swap-sqr_binary64` `rem-square-sqrt_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 137

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
13.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
11.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
21.0ms	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
57.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
59.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
19.0ms	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))

simplify31.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5437	1539

prune77.0ms

Filtered

80 candidates to 149 candidates (-86.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	149	7	156

Merged error: 0b

Counts

156 → 7

regimes463.0ms

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	10	7
1	10	7

end0.0ms

sample644.0ms

Algorithm

intervals

Results

294.0ms	8000×	pre	80	true
183.0ms	8000×	body	80	valid

Details

analyze5.0ms

sample33.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify43.0ms

prune41.0ms

localize8.0ms

rewrite45.0ms

series155.0ms

simplify28.0ms

prune87.0ms

localize7.0ms

rewrite42.0ms

series73.0ms

simplify52.0ms

prune77.0ms

localize8.0ms

rewrite55.0ms

series146.0ms

simplify31.0ms

prune77.0ms

regimes463.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample644.0ms

Profiling