Details

analyze332.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

sample50.0ms

Algorithm

intervals

Results

17.0ms	58×	body	1024	invalid
9.0ms	210×	body	128	valid
4.0ms	29×	body	512	invalid
4.0ms	25×	body	512	valid
4.0ms	14×	body	1024	valid
1.0ms	13×	body	256	invalid
1.0ms	19×	body	128	invalid
1.0ms	7×	body	256	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5035	11

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: 14.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.4b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 y)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series461.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sinh.f64 y)
168.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
211.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5731	673

prune42.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) x)
0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh.f64 y)
4.0ms	(/.f64 (sinh.f64 y) x)
8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series402.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(sinh.f64 y)
123.0ms	(/.f64 (sinh.f64 y) x)
200.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4945	1011
1	4945	1011

prune42.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sinh-def_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh.f64 y)
4.0ms	(/.f64 x (sinh.f64 y))
10.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series519.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(sinh.f64 y)
250.0ms	(/.f64 x (sinh.f64 y))
191.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4941	2253
1	4941	2253

prune68.0ms

Filtered

98 candidates to 119 candidates (-21.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
0.1b	(/.f64 (sin.f64 x) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh.f64 y)
9.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)

series294.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sinh.f64 y)
189.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
36.0ms	(/.f64 (sin.f64 x) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5007	1001

prune34.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0b

Counts

82 → 4

regimes32.0ms

Accuracy

0% (0.1b 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 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

485.0ms	2029×	body	1024	invalid
302.0ms	6314×	body	128	valid
157.0ms	571×	body	1024	valid
146.0ms	991×	body	512	invalid
110.0ms	710×	body	512	valid
52.0ms	483×	body	256	invalid
47.0ms	748×	body	128	invalid
44.0ms	404×	body	256	valid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	2048	invalid

Details

analyze332.0ms

sample50.0ms

simplify57.0ms

prune1.0ms

localize6.0ms

rewrite14.0ms

series461.0ms

simplify53.0ms

prune42.0ms

localize7.0ms

rewrite18.0ms

series402.0ms

simplify63.0ms

prune42.0ms

localize7.0ms

rewrite25.0ms

series519.0ms

simplify81.0ms

prune68.0ms

localize6.0ms

rewrite19.0ms

series294.0ms

simplify49.0ms

prune34.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling