Details

analyze536.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

sample124.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	invalid
19.0ms	33×	body	1280	valid
16.0ms	49×	body	640	valid
10.0ms	143×	body	80	valid
8.0ms	31×	body	640	invalid
8.0ms	111×	body	80	invalid
4.0ms	19×	body	320	valid
4.0ms	21×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	10×	body	160	invalid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	6390	24

prune8.0ms

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: 15.3b

Counts

2 → 1

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 59

Calls

3 calls:

9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
13.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
96.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
20.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify73.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5642	958

prune340.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (.f64 2 (sinh.f64 l)))
0.0b	(sinh.f64 l)
0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`sinh-def_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

5.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)
9.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
38.0ms	(sinh.f64 l)
206.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
122.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5292	1193

prune307.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2))))
0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`sinh-def_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
1.0ms	(sinh.f64 l)
9.0ms	(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2))))
4.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+.f64 (.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2)))) U)
38.0ms	(sinh.f64 l)
123.0ms	(.f64 (.f64 2 (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K 1/2))))
39.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5332	1159

prune291.0ms

Filtered

48 candidates to 72 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
3×	`sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

1.0ms	(sinh.f64 l)
9.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sinh.f64 l)
213.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
117.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
82.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify82.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5355	1248

prune262.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

regimes1.0s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20

end0.0ms

sample3.7s

Algorithm

intervals

Results

739.0ms	1230×	body	1280	valid
594.0ms	1456×	body	1280	invalid
497.0ms	1394×	body	640	valid
348.0ms	1236×	body	640	invalid
294.0ms	4093×	body	80	valid
227.0ms	3198×	body	80	invalid
194.0ms	864×	body	320	valid
133.0ms	635×	body	320	invalid
63.0ms	419×	body	160	valid
50.0ms	293×	body	160	invalid

Details

analyze536.0ms

sample124.0ms

simplify121.0ms

prune8.0ms

localize20.0ms

rewrite29.0ms

series168.0ms

simplify73.0ms

prune340.0ms

localize17.0ms

rewrite25.0ms

series432.0ms

simplify56.0ms

prune307.0ms

localize17.0ms

rewrite25.0ms

series404.0ms

simplify56.0ms

prune291.0ms

localize18.0ms

rewrite26.0ms

series458.0ms

simplify82.0ms

prune262.0ms

regimes1.0s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.7s

Profiling