Details

analyze338.0ms (5.7%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample58.0ms (1%)

Algorithm

1×

intervals

Results

17.0ms	69×	body	1024	valid
11.0ms	65×	body	1024	invalid
6.0ms	145×	body	128	valid
4.0ms	28×	body	512	invalid
4.0ms	29×	body	512	valid
2.0ms	29×	body	128	invalid
1.0ms	14×	body	256	invalid
1.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify151.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5030	11

prune2.0ms (0%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2828`
19×	`times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
13×	`associate-r_binary64_2746`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/r_binary64_2750` `add-log-exp_binary64_2845` `associate-/l_binary64_2751`
2×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `sinh-def_binary64_2991`
1×	`associate-/l/_binary64_2753` `-commutative_binary64_2737` `clear-num_binary64_2805` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

3 → 68

Calls

6 calls:

8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)
0.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0ms	(sinh.f64 y)

series356.0ms (6%)

Counts

3 → 24

Calls

3 calls:

235.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
79.0ms	(/.f64 (sinh.f64 y) y)
41.0ms	(sinh.f64 y)

Compiler

Compiled 614 to 487 computations (20.7% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5268	1423

prune75.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	2	93

Error

0.0b

Counts

93 → 2

Compiler

Compiled 1287 to 404 computations (68.6% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite52.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_2812`
106×	`add-sqr-sqrt_binary64_2828`
94×	`*-un-lft-identity_binary64_2806`
92×	`add-cube-cbrt_binary64_2841`
47×	`associate-r_binary64_2746`
36×	`add-exp-log_binary64_2844`
20×	`add-cbrt-cube_binary64_2842`
17×	`associate-/r*_binary64_2750`
15×	`div-exp_binary64_2857`
10×	`div-inv_binary64_2803` `associate-/r/_binary64_2752`
9×	`sinh-def_binary64_2991`
7×	`cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `pow1_binary64_2867`
6×	`associate-/l*_binary64_2751`
5×	`unswap-sqr_binary64_2774`
4×	`1-exp_binary64_2850` `rec-exp_binary64_2856` `add-log-exp_binary64_2845`
3×	`associate-l_binary64_2747` `cbrt-unprod_binary64_2839`
2×	`clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`pow-flip_binary64_2880` `-commutative_binary64_2737` `inv-pow_binary64_2891` `associate-r/_binary64_2748` `un-div-inv_binary64_2804` `pow-prod-down_binary64_2877`

Counts

4 → 192

Calls

8 calls:

22.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
4.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))

series442.0ms (7.4%)

Counts

4 → 30

Calls

4 calls:

231.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
97.0ms	(/.f64 y (sinh.f64 y))
67.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
47.0ms	(sinh.f64 y)

Compiler

Compiled 760 to 623 computations (18% saved)

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4962	3621
1	4962	3621

prune174.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	220	4	224

Error

Counts

224 → 4

Compiler

Compiled 3526 to 1201 computations (65.9% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y)))))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_2812`
102×	`add-sqr-sqrt_binary64_2828`
95×	`*-un-lft-identity_binary64_2806`
94×	`sqrt-prod_binary64_2822`
93×	`add-cube-cbrt_binary64_2841`
50×	`associate-r_binary64_2746`
13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
11×	`pow1_binary64_2867`
10×	`div-inv_binary64_2803`
9×	`associate-/r/_binary64_2752`
8×	`sinh-def_binary64_2991`
6×	`associate-/r_binary64_2750` `associate-/l_binary64_2751`
5×	`sqrt-div_binary64_2823` `rem-sqrt-square_binary64_2819`
4×	`add-log-exp_binary64_2845`
3×	`sqrt-pow1_binary64_2824` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877` `associate-*l/_binary64_2749`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`frac-times_binary64_2816` `associate-l_binary64_2747` `associate-/l/_binary64_2753` `pow1/2_binary64_2886` `pow-flip_binary64_2880` `-commutative_binary64_2737` `inv-pow_binary64_2891` `associate-r/_binary64_2748`

Counts

4 → 188

Calls

8 calls:

22.0ms	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y)))))
8.0ms	(sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y))))
4.0ms	(/.f64 (sinh.f64 y) y)
3.0ms	(/.f64 y (sinh.f64 y))
0.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))

series524.0ms (8.8%)

Counts

4 → 30

Calls

4 calls:

274.0ms	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y)))))
98.0ms	(/.f64 y (sinh.f64 y))
80.0ms	(sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y))))
71.0ms	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 1160 to 919 computations (20.8% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5041	4140

prune199.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	218	4	222

Error

Counts

222 → 4

Compiler

Compiled 4802 to 1504 computations (68.7% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y)))))
0.0b	(exp.f64 (/.f64 y (sinh.f64 y)))
0.0b	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
0.0b	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
0.0b	(sinh.f64 y)
0.0b	(/.f64 y (sinh.f64 y))
0.3b	(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`times-frac_binary64_2812`
71×	`add-sqr-sqrt_binary64_2828`
65×	`*-un-lft-identity_binary64_2806`
64×	`add-cube-cbrt_binary64_2841`
60×	`log-pow_binary64_2895`
58×	`associate-r_binary64_2746`
56×	`exp-prod_binary64_2858`
15×	`add-exp-log_binary64_2844`
11×	`add-cbrt-cube_binary64_2842`
10×	`pow1_binary64_2867`
7×	`sinh-def_binary64_2991`
6×	`div-inv_binary64_2803` `associate-/r/_binary64_2752`
4×	`prod-exp_binary64_2855` `add-log-exp_binary64_2845` `log-prod_binary64_2892`
3×	`associate-l_binary64_2747` `div-exp_binary64_2857` `associate-/r_binary64_2750` `associate-/l_binary64_2751` `unswap-sqr_binary64_2774`
2×	`cbrt-undiv_binary64_2840` `cbrt-unprod_binary64_2839`
1×	`1-exp_binary64_2850` `rec-exp_binary64_2856` `exp-lft-sqr_binary64_2861` `-commutative_binary64_2737` `rem-log-exp_binary64_2847` `clear-num_binary64_2805` `associate-r/_binary64_2748` `un-div-inv_binary64_2804` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

4 → 144

Calls

8 calls:

28.0ms	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
5.0ms	(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
4.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))

series692.0ms (11.6%)

Counts

4 → 30

Calls

4 calls:

456.0ms	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
100.0ms	(/.f64 y (sinh.f64 y))
97.0ms	(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
39.0ms	(sinh.f64 y)

Compiler

Compiled 724 to 606 computations (16.3% saved)

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4948	2351
1	4948	2351

prune134.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	174	4	178

Error

Counts

178 → 4

Compiler

Compiled 2939 to 1137 computations (61.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	268
1	74	268

regimes144.0ms (2.4%)

Compiler: Compiled 933 to 745 computations (20.2% saved)

bsearch0.0ms (0%)

regimes89.0ms (1.5%)

Compiler: Compiled 455 to 434 computations (4.6% saved)

bsearch0.0ms (0%)

regimes49.0ms (0.8%)

Compiler: Compiled 109 to 146 computations (-33.9% saved)

bsearch0.0ms (0%)

regimes37.0ms (0.6%)

Compiler: Compiled 52 to 86 computations (-65.4% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.3%)

Accuracy

Total 0.0b remaining (80.5%)

Threshold costs 0.0b (80.5%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 34 to 31 computations (8.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	53
1	24	53

end0.0ms (0%)

sample1.9s (31.9%)

Algorithm

1×

intervals

Results

392.0ms	2056×	body	1024	valid
348.0ms	1929×	body	1024	invalid
209.0ms	4421×	body	128	valid
129.0ms	1024×	body	512	valid
121.0ms	964×	body	512	invalid
42.0ms	492×	body	256	valid
41.0ms	478×	body	256	invalid
40.0ms	702×	body	128	invalid
4.0ms	7×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 209 to 169 computations (19.1% saved)

Pareto

0.7899969168816084

Details

analyze338.0ms (5.7%)

sample58.0ms (1%)

simplify151.0ms (2.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series356.0ms (6%)

simplify61.0ms (1%)

prune75.0ms (1.3%)

localize8.0ms (0.1%)

rewrite52.0ms (0.9%)

series442.0ms (7.4%)

simplify108.0ms (1.8%)

prune174.0ms (2.9%)

localize15.0ms (0.3%)

rewrite59.0ms (1%)

series524.0ms (8.8%)

simplify91.0ms (1.5%)

prune199.0ms (3.3%)

localize12.0ms (0.2%)

rewrite53.0ms (0.9%)

series692.0ms (11.6%)

simplify87.0ms (1.5%)

prune134.0ms (2.2%)

simplify6.0ms (0.1%)

regimes144.0ms (2.4%)

bsearch0.0ms (0%)

regimes89.0ms (1.5%)

bsearch0.0ms (0%)

regimes49.0ms (0.8%)

bsearch0.0ms (0%)

regimes37.0ms (0.6%)

bsearch0.0ms (0%)

regimes18.0ms (0.3%)

bsearch3.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (31.9%)

Profiling