Details

analyze336.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

sample36.0ms

Algorithm

intervals

Results

8.0ms	182×	body	80	valid
6.0ms	22×	body	2560	valid
4.0ms	13×	body	5120	valid
4.0ms	18×	body	1280	valid
3.0ms	256×	pre	80	true
2.0ms	11×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	250	23
1	250	23

prune2.0ms

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: 39.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
1.1b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
29.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64` `sqrt-prod_binary64`
4×	`add-cube-cbrt_binary64` `sqrt-div_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`

Counts

3 → 42

Calls

3 calls:

13.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
29.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
36.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5220	923

prune62.0ms

Filtered

42 candidates to 51 candidates (-21.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 10.8b

Counts

52 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `sqrt-prod_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

simplify113.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4947	255
1	4947	255

prune19.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	15	7	22

Merged error: 10.8b

Counts

22 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))
3.5b	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64`
8×	`log-prod_binary64` `log-pow_binary64`
7×	`exp-prod_binary64`
6×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `sqrt-pow1_binary64` `add-sqr-sqrt_binary64` `sqrt-div_binary64`
4×	`add-exp-log_binary64` `exp-sum_binary64` `log-div_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`exp-diff_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64`

Counts

3 → 52

Calls

3 calls:

6.0ms	(log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
5.0ms	(sqrt.f64 (*.f64 2 (-.f64 im re)))
7.0ms	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))))

series182.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
58.0ms	(sqrt.f64 (*.f64 2 (-.f64 im re)))
55.0ms	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4966	985
1	4966	985

prune50.0ms

Filtered

45 candidates to 61 candidates (-35.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	60	8	68

Merged error: 10.8b

Counts

68 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))
0.4b	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3))
0.6b	(pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3)
3.5b	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod_binary64`
32×	`pow1_binary64`
24×	`log-pow_binary64`
23×	`exp-prod_binary64`
21×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-pow1_binary64` `add-sqr-sqrt_binary64`
7×	`pow-prod-down_binary64` `pow1/2_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`associate-*r/_binary64` `sqrt-div_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `sqrt-prod_binary64` `pow-exp_binary64`

Counts

4 → 104

Calls

4 calls:

7.0ms	(sqrt.f64 (*.f64 2 (-.f64 im re)))
7.0ms	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3))
7.0ms	(pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3)
9.0ms	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt.f64 (*.f64 2 (-.f64 im re)))
62.0ms	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3))
246.0ms	(pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3)
64.0ms	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 3)))

simplify55.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5221	2203

prune73.0ms

Filtered

60 candidates to 116 candidates (-93.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	115	9	124

Merged error: 10.8b

Counts

124 → 9

regimes306.0ms

Accuracy

52.7% (8.9b remaining)

Error of 18.7b against oracle of 9.8b and baseline of 28.6b

bsearch4.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	116
1	49	116

end0.0ms

sample1.0s

Algorithm

intervals

Results

282.0ms	6029×	body	80	valid
192.0ms	681×	body	2560	valid
106.0ms	486×	body	1280	valid
99.0ms	8000×	pre	80	true
93.0ms	284×	body	5120	valid
50.0ms	272×	body	640	valid
21.0ms	161×	body	320	valid
8.0ms	87×	body	160	valid

Details

analyze336.0ms

sample36.0ms

simplify34.0ms

prune2.0ms

localize11.0ms

rewrite29.0ms

series171.0ms

simplify58.0ms

prune62.0ms

localize6.0ms

rewrite5.0ms

series56.0ms

simplify113.0ms

prune19.0ms

localize9.0ms

rewrite19.0ms

series182.0ms

simplify86.0ms

prune50.0ms

localize12.0ms

rewrite34.0ms

series431.0ms

simplify55.0ms

prune73.0ms

regimes306.0ms

bsearch4.0ms

simplify4.0ms

end0.0ms

sample1.0s

Profiling