Details

analyze506.0ms

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

sample107.0ms

Algorithm

intervals

Results

26.0ms	54×	body	1024	valid
20.0ms	64×	body	1024	invalid
10.0ms	143×	body	128	valid
8.0ms	33×	body	512	valid
8.0ms	121×	body	128	invalid
7.0ms	35×	body	512	invalid
6.0ms	24×	body	256	valid
2.0ms	13×	body	256	invalid
1.0ms	2×	body	2048	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5178	24

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: 17.6b

Counts

2 → 1

localize17.0ms

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)))
6.1b	(-.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))))
10.0ms	(.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)))

series354.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
204.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
44.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify79.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5052	1160

prune57.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0.0b

Counts

69 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-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`
2×	`sinh-def_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

3 → 52

Calls

3 calls:

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

series762.0ms

Counts

3 → 9

Calls

3 calls:

414.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
126.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
223.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5987	1057

prune51.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
0.2b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

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

series816.0ms

Counts

3 → 9

Calls

3 calls:

424.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
148.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
243.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

simplify45.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5402	1174

prune45.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 J (.f64 (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
0.3b	(.f64 (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

146×	`pow1_binary64`
80×	`pow-prod-down_binary64`
60×	`sqrt-pow1_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`pow-prod-up_binary64`
15×	`associate-*r/_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64` `associate-*l/_binary64`
11×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `pow-sqr_binary64`
10×	`sinh-def_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`associate-l_binary64`
8×	`sqrt-div_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `frac-times_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 129

Calls

4 calls:

22.0ms	(.f64 J (.f64 (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
18.0ms	(.f64 (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))

series850.0ms

Counts

4 → 12

Calls

4 calls:

363.0ms	(.f64 J (.f64 (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))))
157.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
123.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
206.0ms	(.f64 (sqrt.f64 (.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4961	2062
1	4961	2062

prune95.0ms

Filtered

68 candidates to 141 candidates (-107.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	141	5	146

Merged error: 0b

Counts

146 → 5

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms

sample3.2s

Algorithm

intervals

Results

788.0ms	1651×	body	1024	valid
635.0ms	1993×	body	1024	invalid
316.0ms	4452×	body	128	valid
299.0ms	1174×	body	512	valid
248.0ms	3472×	body	128	invalid
203.0ms	949×	body	512	invalid
97.0ms	653×	body	256	valid
69.0ms	465×	body	256	invalid
49.0ms	70×	body	2048	valid

Details

analyze506.0ms

sample107.0ms

simplify98.0ms

prune2.0ms

localize17.0ms

rewrite29.0ms

series354.0ms

simplify79.0ms

prune57.0ms

localize12.0ms

rewrite27.0ms

series762.0ms

simplify49.0ms

prune51.0ms

localize14.0ms

rewrite28.0ms

series816.0ms

simplify45.0ms

prune45.0ms

localize15.0ms

rewrite69.0ms

series850.0ms

simplify74.0ms

prune95.0ms

regimes88.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling