Details

analyze512.0ms

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

sample117.0ms

Algorithm

intervals

Results

23.0ms	37×	body	1280	valid
17.0ms	43×	body	1280	invalid
14.0ms	41×	body	640	valid
13.0ms	50×	body	640	invalid
9.0ms	139×	body	80	valid
7.0ms	106×	body	80	invalid
6.0ms	15×	body	320	invalid
5.0ms	25×	body	320	valid
2.0ms	16×	body	160	invalid
2.0ms	14×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4814	15
1	4814	15

prune3.0ms

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: 18.4b

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)))
7.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite27.0ms

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))))
11.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
24.0ms	(.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)))

simplify65.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5007	714

prune52.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`add-log-exp_binary64` `sinh-def_binary64`
2×	`*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 l)
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
11.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 l)
14.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
28.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4970	490
1	4970	490

prune46.0ms

Filtered

37 candidates to 58 candidates (-56.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
0.1b	(*.f64 1/3 (pow.f64 l 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
21×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64` `prod-exp_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
6×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `sqr-pow_binary64` `cube-prod_binary64` `-commutative_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 98

Calls

4 calls:

15.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
6.0ms	(*.f64 1/60 (pow.f64 l 5))
19.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))

series85.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
5.0ms	(*.f64 1/60 (pow.f64 l 5))
43.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
5.0ms	(*.f64 1/3 (pow.f64 l 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4950	1375
1	4950	1375

prune104.0ms

Filtered

70 candidates to 110 candidates (-57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))))
14.3b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
14.3b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
14.3b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-*r/_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
7×	`cbrt-div_binary64` `sinh-def_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))))
64.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
65.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
67.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4933	1194
1	4933	1194

prune90.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

regimes298.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	24
1	28	24

end0.0ms

sample3.5s

Algorithm

intervals

Results

736.0ms	1226×	body	1280	valid
584.0ms	1486×	body	1280	invalid
441.0ms	1312×	body	640	valid
358.0ms	1316×	body	640	invalid
287.0ms	4146×	body	80	valid
238.0ms	3423×	body	80	invalid
185.0ms	847×	body	320	valid
124.0ms	624×	body	320	invalid
65.0ms	469×	body	160	valid
45.0ms	329×	body	160	invalid

Details

analyze512.0ms

sample117.0ms

simplify71.0ms

prune3.0ms

localize17.0ms

rewrite27.0ms

series39.0ms

simplify65.0ms

prune52.0ms

localize11.0ms

rewrite20.0ms

series49.0ms

simplify43.0ms

prune46.0ms

localize18.0ms

rewrite49.0ms

series85.0ms

simplify54.0ms

prune104.0ms

localize15.0ms

rewrite29.0ms

series298.0ms

simplify53.0ms

prune90.0ms

regimes298.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling