Details

analyze2.6s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample48.0ms

Algorithm

intervals

Results

27.0ms	252×	body	80	valid
2.0ms	15×	body	80	invalid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	640	invalid
1.0ms	2×	body	1280	invalid
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4934	43
1	4934	43

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.7b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
0.0b	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`unpow-prod-down_binary64` `exp-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `exp-diff_binary64` `cos-diff_binary64` `exp-sum_binary64` `cos-sum_binary64` `times-frac_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 61

Calls

4 calls:

8.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
18.0ms	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series314.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
144.0ms	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
54.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
72.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify88.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4970	1484
1	4970	1484

prune92.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.9b

Counts

74 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))

0.0b

(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))

0.0b

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-log-exp_binary64`
6×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `exp-prod_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `diff-log_binary64` `add-exp-log_binary64` `difference-of-squares_binary64`
3×	`pow-unpow_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `associate--r+_binary64` `flip3--_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `exp-diff_binary64` `exp-sum_binary64` `times-frac_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

3 → 55

Calls

3 calls:

18.0ms

(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))

17.0ms

(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))

11.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series339.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms

(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))

146.0ms

(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))

56.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

simplify113.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4963	1535
1	4963	1535

prune64.0ms

Filtered

44 candidates to 64 candidates (-45.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0.9b

Counts

68 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64` `cbrt-prod_binary64`
1×	`pow1/3_binary64`

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
11.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series518.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
71.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
77.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
74.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify99.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5705	942

prune101.0ms

Filtered

41 candidates to 50 candidates (-22.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	50	4	54

Merged error: 0.9b

Counts

54 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cos-diff_binary64` `add-sqr-sqrt_binary64` `cos-sum_binary64`

Counts

4 → 36

Calls

4 calls:

9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series295.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
72.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
71.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
78.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify263.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	4714	952
1	4714	952

prune132.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	48	4	52

Merged error: 0.9b

Counts

52 → 4

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 1.5b against oracle of 1.2b and baseline of 1.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	26
1	63	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

847.0ms	7808×	body	80	valid
44.0ms	74×	body	1280	invalid
43.0ms	82×	body	640	invalid
36.0ms	276×	body	80	invalid
36.0ms	73×	body	640	valid
34.0ms	54×	body	1280	valid
17.0ms	53×	body	320	invalid
14.0ms	40×	body	320	valid
9.0ms	43×	body	160	invalid
5.0ms	25×	body	160	valid
5.0ms	5×	body	2560	invalid

Details

analyze2.6s

sample48.0ms

simplify62.0ms

prune5.0ms

localize27.0ms

rewrite48.0ms

series314.0ms

simplify88.0ms

prune92.0ms

localize14.0ms

rewrite48.0ms

series339.0ms

simplify113.0ms

prune64.0ms

localize26.0ms

rewrite32.0ms

series518.0ms

simplify99.0ms

prune101.0ms

localize32.0ms

rewrite38.0ms

series295.0ms

simplify263.0ms

prune132.0ms

regimes82.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.4s

Profiling