Details

analyze16.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample68.0ms

Algorithm

intervals

Results

38.0ms	115×	body	1280	valid
16.0ms	75×	body	640	valid
5.0ms	40×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	14×	body	80	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

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: 57.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.6b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64` `times-frac_binary64`
16×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `cosh-undef_binary64`
7×	`add-log-exp_binary64` `sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `tanh-undef_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 86

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series48.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
38.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4899	1716
1	4899	1716

prune78.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(tanh.f64 x)

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5070	113

prune16.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(sinh.f64 x)
1.0b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `cosh-undef_binary64`
2×	`flip3-+_binary64` `sinh-def_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-/l/_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 49

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	(sinh.f64 x)
10.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series61.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	(sinh.f64 x)
49.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4891	721
1	4891	721

prune49.0ms

Filtered

47 candidates to 58 candidates (-23.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize4.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 x)
0.0b	(tanh.f64 x)
0.2b	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`pow1_binary64` `sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
9×	`frac-times_binary64`
8×	`pow1/2_binary64` `swap-sqr_binary64` `sqrt-pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

3 → 84

Calls

3 calls:

1.0ms	(tanh.f64 x)
1.0ms	(tanh.f64 x)
8.0ms	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(tanh.f64 x)
19.0ms	(tanh.f64 x)
22.0ms	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5139	779

prune51.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	2	2
1	2	2

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	3270×	body	1280	valid
509.0ms	2478×	body	640	valid
161.0ms	1231×	body	320	valid
55.0ms	616×	body	160	valid
17.0ms	405×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze16.0ms

sample68.0ms

simplify58.0ms

prune2.0ms

localize7.0ms

rewrite25.0ms

series48.0ms

simplify67.0ms

prune78.0ms

localize2.0ms

rewrite1.0ms

series22.0ms

simplify48.0ms

prune16.0ms

localize8.0ms

rewrite17.0ms

series61.0ms

simplify48.0ms

prune49.0ms

localize4.0ms

rewrite14.0ms

series61.0ms

simplify40.0ms

prune51.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling