Details

analyze514.0ms (9.5%)

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
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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample49.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	50×	body	1024	invalid
10.0ms	202×	body	128	valid
5.0ms	17×	body	1024	valid
4.0ms	28×	body	512	invalid
3.0ms	21×	body	512	valid
2.0ms	19×	body	256	invalid
2.0ms	16×	body	256	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify219.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4963	11
1	4963	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

Merged error: 15.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

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)) x)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
9×	`add-sqr-sqrt_binary64_15600`
7×	`*-un-lft-identity_binary64_15579` `add-cube-cbrt_binary64_15611`
5×	`pow1_binary64_15637`
3×	`times-frac_binary64_15585` `associate-r_binary64_15521` `associate-/r_binary64_15525` `add-log-exp_binary64_15615` `sinh-def_binary64_15761` `associate-l*_binary64_15522`
2×	`cbrt-undiv_binary64_15610` `div-exp_binary64_15627` `prod-exp_binary64_15625` `cbrt-unprod_binary64_15609` `associate-*r/_binary64_15523`
1×	`pow-prod-down_binary64_15647` `clear-num_binary64_15578` `div-inv_binary64_15576` `associate-/l/_binary64_15528` `frac-2neg_binary64_15590` `associate-/l_binary64_15526` `-commutative_binary64_15512` `unswap-sqr_binary64_15547`

Counts

3 → 49

Calls

3 calls:

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

series425.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

192.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
162.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
72.0ms	(sinh.f64 y)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5536	673

prune43.0ms (0.8%)

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: 0b

Counts

59 → 5

Compiler

Compiled 699 to 223 computations (68.1% saved)

localize7.0ms (0.1%)

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))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_15600`
19×	`times-frac_binary64_15585` `*-un-lft-identity_binary64_15579` `add-cube-cbrt_binary64_15611`
13×	`associate-r_binary64_15521`
10×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
5×	`pow1_binary64_15637`
3×	`associate-/r_binary64_15525` `add-log-exp_binary64_15615` `associate-l_binary64_15522` `associate-/l_binary64_15526`
2×	`div-inv_binary64_15576` `cbrt-undiv_binary64_15610` `div-exp_binary64_15627` `sinh-def_binary64_15761` `prod-exp_binary64_15625` `cbrt-unprod_binary64_15609` `unswap-sqr_binary64_15547`
1×	`pow-prod-down_binary64_15647` `clear-num_binary64_15578` `associate-/l/_binary64_15528` `frac-2neg_binary64_15590` `associate-r/_binary64_15523` `-commutative_binary64_15512`

Counts

3 → 68

Calls

3 calls:

11.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
4.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)

series390.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

188.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
127.0ms	(/.f64 (sinh.f64 y) x)
75.0ms	(sinh.f64 y)

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6168	1011

prune48.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	5	82

Merged error: 0b

Counts

82 → 5

Compiler

Compiled 1028 to 281 computations (72.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
1.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_15585`
54×	`*-un-lft-identity_binary64_15579` `add-sqr-sqrt_binary64_15600` `add-cube-cbrt_binary64_15611`
17×	`associate-/r*_binary64_15525`
10×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
6×	`div-inv_binary64_15576` `associate-/r/_binary64_15527` `sinh-def_binary64_15761` `associate-/l*_binary64_15526`
4×	`cbrt-undiv_binary64_15610` `div-exp_binary64_15627`
3×	`pow1_binary64_15637` `add-log-exp_binary64_15615`
2×	`clear-num_binary64_15578` `frac-2neg_binary64_15590`

Counts

3 → 110

Calls

3 calls:

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

series503.0ms (9.3%)

Counts

3 → 9

Calls

3 calls:

241.0ms	(/.f64 x (sinh.f64 y))
193.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
68.0ms	(sinh.f64 y)

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5834	2253

prune76.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0b

Counts

124 → 5

Compiler

Compiled 1783 to 384 computations (78.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) x)
0.0b	(sinh.f64 y)
0.2b	(/.f64 1 (/.f64 (sinh.f64 y) x))
1.1b	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (sinh.f64 y) x)))

rewrite75.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

480×	`times-frac_binary64_15585`
239×	`*-un-lft-identity_binary64_15579` `add-sqr-sqrt_binary64_15600` `add-cube-cbrt_binary64_15611`
60×	`associate-/r*_binary64_15525`
36×	`add-exp-log_binary64_15614`
23×	`div-inv_binary64_15576`
22×	`div-exp_binary64_15627`
20×	`add-cbrt-cube_binary64_15612`
10×	`cbrt-undiv_binary64_15610`
9×	`associate-/l*_binary64_15526`
6×	`associate-/r/_binary64_15527`
5×	`pow1_binary64_15637`
4×	`1-exp_binary64_15620` `add-log-exp_binary64_15615` `rec-exp_binary64_15626`
3×	`clear-num_binary64_15578` `frac-2neg_binary64_15590`
2×	`sinh-def_binary64_15761`
1×	`associate-/l/_binary64_15528` `pow-flip_binary64_15650` `inv-pow_binary64_15661`

Counts

4 → 312

Calls

4 calls:

17.0ms	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (sinh.f64 y) x)))
7.0ms	(/.f64 1 (/.f64 (sinh.f64 y) x))
4.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)

series580.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(/.f64 1 (/.f64 (sinh.f64 y) x))
194.0ms	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (sinh.f64 y) x)))
119.0ms	(/.f64 (sinh.f64 y) x)
65.0ms	(sinh.f64 y)

simplify142.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

324 → 324

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4913	7351
1	4913	7351

prune225.0ms (4.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	324	5	329

Merged error: 0b

Counts

329 → 5

Compiler

Compiled 5743 to 1517 computations (73.6% saved)

regimes49.0ms (0.9%)

Compiler: Compiled 182 to 166 computations (8.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample1.8s (32.9%)

Algorithm

1×

intervals

Results

466.0ms	1927×	body	1024	invalid
311.0ms	6266×	body	128	valid
181.0ms	617×	body	1024	valid
158.0ms	1001×	body	512	invalid
108.0ms	661×	body	512	valid
63.0ms	523×	body	256	invalid
48.0ms	769×	body	128	invalid
47.0ms	456×	body	256	valid

Compiler

Compiled 62 to 56 computations (9.7% saved)

Details

analyze514.0ms (9.5%)

sample49.0ms (0.9%)

simplify219.0ms (4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series425.0ms (7.9%)

simplify56.0ms (1%)

prune43.0ms (0.8%)

localize7.0ms (0.1%)

rewrite21.0ms (0.4%)

series390.0ms (7.2%)

simplify63.0ms (1.2%)

prune48.0ms (0.9%)

localize6.0ms (0.1%)

rewrite23.0ms (0.4%)

series503.0ms (9.3%)

simplify83.0ms (1.5%)

prune76.0ms (1.4%)

localize8.0ms (0.1%)

rewrite75.0ms (1.4%)

series580.0ms (10.7%)

simplify142.0ms (2.6%)

prune225.0ms (4.1%)

regimes49.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (32.9%)

Profiling