Details

analyze14.0ms

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

sample61.0ms

Algorithm

intervals

Results

31.0ms	97×	body	1280	valid
18.0ms	86×	body	640	valid
5.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

prune5.0ms

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: 58.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms

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)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
13.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4863	1393
1	4863	1393

prune56.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	4	96

Merged error: 0b

Counts

96 → 4

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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(tanh.f64 x)

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6007	79

prune12.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0b

Counts

17 → 4

localize4.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(sinh.f64 x)
1.2b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cosh-def_binary64`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 45

Calls

3 calls:

1.0ms	(cosh.f64 x)
1.0ms	(sinh.f64 x)
4.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))

series31.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh.f64 x)
7.0ms	(sinh.f64 x)
19.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	6747	389

prune20.0ms

Filtered

45 candidates to 54 candidates (-20.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 x)
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.2b	(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
1.2b	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

1.0ms	(sinh.f64 x)
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms	(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
8.0ms	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))

series44.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sinh.f64 x)
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
18.0ms	(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
16.0ms	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5012	2333

prune63.0ms

Filtered

128 candidates to 169 candidates (-32.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	169	4	173

Merged error: 0b

Counts

173 → 4

regimes16.0ms

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	3350×	body	1280	valid
495.0ms	2434×	body	640	valid
151.0ms	1200×	body	320	valid
53.0ms	641×	body	160	valid
15.0ms	375×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze14.0ms

sample61.0ms

simplify54.0ms

prune5.0ms

localize7.0ms

rewrite24.0ms

series20.0ms

simplify58.0ms

prune56.0ms

localize2.0ms

rewrite1.0ms

series15.0ms

simplify38.0ms

prune12.0ms

localize4.0ms

rewrite8.0ms

series31.0ms

simplify39.0ms

prune20.0ms

localize10.0ms

rewrite31.0ms

series44.0ms

simplify53.0ms

prune63.0ms

regimes16.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling