Details

analyze361.0ms

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

sample55.0ms

Algorithm

intervals

Results

12.0ms	42×	body	1280	invalid
8.0ms	190×	body	80	valid
8.0ms	39×	body	640	invalid
6.0ms	29×	body	640	valid
3.0ms	22×	body	320	valid
3.0ms	8×	body	1280	valid
2.0ms	17×	body	320	invalid
1.0ms	9×	body	160	invalid
1.0ms	12×	body	80	invalid
1.0ms	7×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4970	7
1	4970	7

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: 12.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
12.4b	(/.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)

series50.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 y)
22.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
21.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4995	419
1	4995	419

prune37.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize9.0ms

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))

rewrite17.0ms

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)
5.0ms	(/.f64 (sinh.f64 y) x)
8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series43.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 y)
14.0ms	(/.f64 (sinh.f64 y) x)
21.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

simplify68.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4929	627
1	4929	627

prune34.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

82 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite17.0ms

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:

4.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)
7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 x (sinh.f64 y))
7.0ms	(sinh.f64 y)
21.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4919	1371
1	4919	1371

prune50.0ms

Filtered

97 candidates to 119 candidates (-22.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	120	5	125

Merged error: 0b

Counts

125 → 5

localize7.0ms

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)

rewrite15.0ms

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)
7.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)

series33.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 y)
21.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4960	622
1	4960	622

prune27.0ms

Filtered

60 candidates to 78 candidates (-30.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0b

Counts

83 → 5

regimes113.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

467.0ms	1493×	body	1280	invalid
289.0ms	6082×	body	80	valid
244.0ms	1231×	body	640	invalid
150.0ms	728×	body	640	valid
134.0ms	385×	body	1280	valid
85.0ms	607×	body	320	invalid
69.0ms	503×	body	320	valid
34.0ms	592×	body	80	invalid
29.0ms	302×	body	160	valid
28.0ms	290×	body	160	invalid

Details

analyze361.0ms

sample55.0ms

simplify49.0ms

prune2.0ms

localize7.0ms

rewrite14.0ms

series50.0ms

simplify53.0ms

prune37.0ms

localize9.0ms

rewrite17.0ms

series43.0ms

simplify68.0ms

prune34.0ms

localize7.0ms

rewrite17.0ms

series55.0ms

simplify76.0ms

prune50.0ms

localize7.0ms

rewrite15.0ms

series33.0ms

simplify53.0ms

prune27.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling