Details

analyze500.0ms

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

sample111.0ms

Algorithm

intervals

Results

22.0ms	39×	body	1280	valid
20.0ms	50×	body	1280	invalid
14.0ms	40×	body	640	valid
10.0ms	39×	body	640	invalid
9.0ms	141×	body	80	valid
6.0ms	94×	body	80	invalid
5.0ms	22×	body	320	valid
3.0ms	15×	body	320	invalid
2.0ms	15×	body	160	invalid
2.0ms	14×	body	160	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4814	15
1	4814	15

prune7.0ms

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: 16.9b

Counts

2 → 1

localize12.0ms

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)))
4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite25.0ms

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:

8.0ms	(*.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)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
25.0ms	(.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)))

simplify58.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5007	714

prune65.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

69 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
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)))

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:

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

series111.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh.f64 l)
53.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
16.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
33.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify35.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5861	735

prune78.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize10.0ms

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)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh.f64 l)
55.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
30.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
22.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify33.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5308	806

prune72.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.2b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.2b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.2b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
17.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
17.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
17.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5107	681

prune94.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes343.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

710.0ms	1201×	body	1280	valid
572.0ms	1444×	body	1280	invalid
451.0ms	1342×	body	640	valid
332.0ms	1200×	body	640	invalid
286.0ms	4187×	body	80	valid
224.0ms	3272×	body	80	invalid
174.0ms	814×	body	320	valid
114.0ms	589×	body	320	invalid
66.0ms	456×	body	160	valid
42.0ms	312×	body	160	invalid

Details

analyze500.0ms

sample111.0ms

simplify66.0ms

prune7.0ms

localize12.0ms

rewrite25.0ms

series43.0ms

simplify58.0ms

prune65.0ms

localize10.0ms

rewrite25.0ms

series111.0ms

simplify35.0ms

prune78.0ms

localize10.0ms

rewrite26.0ms

series115.0ms

simplify33.0ms

prune72.0ms

localize14.0ms

rewrite13.0ms

series79.0ms

simplify53.0ms

prune94.0ms

regimes343.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.4s

Profiling