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

sample56.0ms

Algorithm

intervals

Results

33.0ms	124×	body	1024	valid
9.0ms	64×	body	512	valid
5.0ms	18×	body	2048	valid
2.0ms	25×	body	256	valid
1.0ms	25×	body	128	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4725	22
1	4725	22

prune1.0ms

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: 57.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite31.0ms

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)))
13.0ms	(/.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)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
154.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
43.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4906	2340
1	4906	2340

prune59.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0b

Counts

96 → 2

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite2.0ms

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)

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(tanh.f64 x)

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5402	124

prune11.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0b	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
1.1b	(/.f64 (sinh.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
1.2b	(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (sinh.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac_binary64`
98×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
76×	`sqrt-prod_binary64`
68×	`add-cube-cbrt_binary64`
30×	`associate-r_binary64` `associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`distribute-lft-out_binary64` `cosh-undef_binary64`
9×	`unswap-sqr_binary64`
8×	`associate-/r/_binary64` `sqrt-div_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `sinh-def_binary64` `associate-r/_binary64` `+-commutative_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 201

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
9.0ms	(/.f64 (sinh.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
36.0ms	(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (sinh.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
125.0ms	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
217.0ms	(/.f64 (sinh.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
208.0ms	(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (sinh.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

simplify96.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4921	5716
1	4921	5716

prune137.0ms

Filtered

141 candidates to 213 candidates (-51.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	213	2	215

Merged error: 0b

Counts

215 → 2

regimes8.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	3893×	body	1024	valid
289.0ms	1998×	body	512	valid
124.0ms	403×	body	2048	valid
85.0ms	927×	body	256	valid
34.0ms	779×	body	128	valid
0.0ms	2×	body	128	overflowed

Details

analyze14.0ms

sample56.0ms

simplify80.0ms

prune1.0ms

localize10.0ms

rewrite31.0ms

series225.0ms

simplify92.0ms

prune59.0ms

localize2.0ms

rewrite2.0ms

series100.0ms

simplify46.0ms

prune11.0ms

localize10.0ms

rewrite89.0ms

series577.0ms

simplify96.0ms

prune137.0ms

regimes8.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling