Details

analyze324.0ms

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

sample71.0ms

Algorithm

intervals

Results

17.0ms	57×	body	1280	invalid
11.0ms	184×	body	80	valid
10.0ms	52×	body	640	invalid
7.0ms	33×	body	640	valid
4.0ms	13×	body	1280	valid
4.0ms	27×	body	320	invalid
2.0ms	18×	body	320	valid
2.0ms	28×	body	80	invalid
1.0ms	13×	body	160	invalid
1.0ms	8×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4970	7
1	4970	7

prune3.0ms

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: 12.9b

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))
12.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite13.0ms

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)

series51.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4995	419
1	4995	419

prune68.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

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

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

series49.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/.f64 (sinh.f64 y) x)
11.0ms	(sinh.f64 y)
22.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4929	627
1	4929	627

prune71.0ms

Filtered

56 candidates to 77 candidates (-37.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	75	11	86

Merged error: 0b

Counts

86 → 11

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
0.9b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite16.0ms

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)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 x (sinh.f64 y))
8.0ms	(sinh.f64 y)
25.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4919	1371
1	4919	1371

prune102.0ms

Filtered

98 candidates to 119 candidates (-21.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	121	9	130

Merged error: 0b

Counts

130 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series75.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune60.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Merged error: 0b

Counts

94 → 9

regimes196.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

491.0ms	6122×	body	80	valid
448.0ms	1495×	body	1280	invalid
255.0ms	1292×	body	640	invalid
143.0ms	701×	body	640	valid
125.0ms	365×	body	1280	valid
87.0ms	613×	body	320	invalid
70.0ms	515×	body	320	valid
36.0ms	648×	body	80	invalid
30.0ms	309×	body	160	invalid
28.0ms	297×	body	160	valid

Details

analyze324.0ms

sample71.0ms

simplify46.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series51.0ms

simplify41.0ms

prune68.0ms

localize6.0ms

rewrite15.0ms

series49.0ms

simplify58.0ms

prune71.0ms

localize6.0ms

rewrite16.0ms

series58.0ms

simplify71.0ms

prune102.0ms

localize10.0ms

rewrite11.0ms

series75.0ms

simplify48.0ms

prune60.0ms

regimes196.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling