Details

analyze337.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample77.0ms

Algorithm

intervals

Results

18.0ms	55×	body	1280	valid
14.0ms	47×	body	1280	invalid
9.0ms	44×	body	640	valid
8.0ms	40×	body	640	invalid
7.0ms	135×	body	80	valid
4.0ms	27×	body	320	invalid
3.0ms	67×	body	80	invalid
2.0ms	13×	body	320	valid
1.0ms	9×	body	160	invalid
1.0ms	9×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4979	11
1	4979	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(sinh.f64 y)
57.0ms	(/.f64 (sinh.f64 y) y)
98.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	6511	1002

prune39.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac_binary64`
106×	`add-sqr-sqrt_binary64`
94×	`*-un-lft-identity_binary64`
92×	`add-cube-cbrt_binary64`
47×	`associate-r_binary64`
36×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
17×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`associate-/r/_binary64` `div-inv_binary64`
9×	`sinh-def_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 192

Calls

4 calls:

1.0ms	(sinh.f64 y)
3.0ms	(/.f64 y (sinh.f64 y))
7.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
18.0ms	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sinh.f64 y)
97.0ms	(/.f64 y (sinh.f64 y))
58.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
96.0ms	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))

simplify87.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5087	3103

prune110.0ms

Filtered

144 candidates to 204 candidates (-41.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	204	2	206

Merged error: 0b

Counts

206 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

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

series239.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(sinh.f64 y)
104.0ms	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
99.0ms	(/.f64 y (sinh.f64 y))

simplify100.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4923	2259
1	4923	2259

prune63.0ms

Filtered

99 candidates to 119 candidates (-20.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

121 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

rewrite19.0ms

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)
6.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
11.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

series213.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(sinh.f64 y)
79.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
99.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5695	673

prune24.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

531.0ms	1487×	body	1280	valid
450.0ms	1471×	body	1280	invalid
259.0ms	1204×	body	640	valid
240.0ms	1173×	body	640	invalid
227.0ms	4349×	body	80	valid
129.0ms	2370×	body	80	invalid
96.0ms	643×	body	320	valid
88.0ms	613×	body	320	invalid
35.0ms	317×	body	160	valid
30.0ms	292×	body	160	invalid

Details

analyze337.0ms

sample77.0ms

simplify68.0ms

prune1.0ms

localize6.0ms

rewrite14.0ms

series191.0ms

simplify78.0ms

prune39.0ms

localize10.0ms

rewrite38.0ms

series288.0ms

simplify87.0ms

prune110.0ms

localize6.0ms

rewrite17.0ms

series239.0ms

simplify100.0ms

prune63.0ms

localize15.0ms

rewrite19.0ms

series213.0ms

simplify64.0ms

prune24.0ms

regimes21.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.4s

Profiling