Details

analyze486.0ms (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4948	22
1	4948	22
0	2	2
1	2	2

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

Symmetry

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample55.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	66×	body	1024	invalid
10.0ms	205×	body	128	valid
5.0ms	40×	body	512	invalid
3.0ms	15×	body	1024	valid
3.0ms	18×	body	512	valid
2.0ms	18×	body	256	valid
2.0ms	30×	body	128	invalid
1.0ms	11×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4943	11
1	4943	11

prune6.0ms (0.1%)

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

12.7b

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))
12.7b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite52.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
9×	`add-sqr-sqrt_binary64_10671`
7×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
5×	`pow1_binary64_10710`
3×	`add-log-exp_binary64_10688` `times-frac_binary64_10655` `sinh-def_binary64_10834` `associate-/r_binary64_10593` `associate-l_binary64_10590` `associate-r*_binary64_10589`
2×	`prod-exp_binary64_10698` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `cbrt-unprod_binary64_10682` `associate-*r/_binary64_10591`
1×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `associate-/l/_binary64_10596` `associate-/l_binary64_10594` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `-commutative_binary64_10580`

Counts

3 → 49

Calls

3 calls:

5.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 621 to 171 computations (72.5% saved)

series427.0ms (7.2%)

Error

12.7b

Counts

3 → 26

Calls

3 calls:

214.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
145.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
46.0ms	(sinh.f64 y)

Compiler

Compiled 1169 to 782 computations (33.1% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5182	1089

prune64.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Error

0.0b

Counts

76 → 7

Compiler

Compiled 1004 to 378 computations (62.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_10671`
19×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649` `times-frac_binary64_10655`
13×	`associate-l_binary64_10590`
10×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
5×	`pow1_binary64_10710`
3×	`add-log-exp_binary64_10688` `associate-r_binary64_10589` `associate-/l_binary64_10594` `associate-/r_binary64_10593`
2×	`div-exp_binary64_10700` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `cbrt-undiv_binary64_10683` `unswap-sqr_binary64_10617` `div-inv_binary64_10646` `sinh-def_binary64_10834`
1×	`pow-prod-down_binary64_10720` `associate-l/_binary64_10592` `-commutative_binary64_10580` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/l/_binary64_10596`

Counts

3 → 68

Calls

3 calls:

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

Compiler

Compiled 942 to 237 computations (74.8% saved)

series416.0ms (7%)

Error

0.0b

Counts

3 → 25

Calls

3 calls:

208.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
148.0ms	(/.f64 (sinh.f64 y) x)
40.0ms	(sinh.f64 y)

Compiler

Compiled 1062 to 731 computations (31.2% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5000	1315

prune67.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Error

Counts

100 → 8

Compiler

Compiled 1307 to 424 computations (67.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite90.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

87×	`times-frac_binary64_10655`
54×	`add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `*-un-lft-identity_binary64_10649`
17×	`associate-/r*_binary64_10593`
10×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
6×	`div-inv_binary64_10646` `sinh-def_binary64_10834` `associate-/r/_binary64_10595` `associate-/l*_binary64_10594`
4×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683`
3×	`pow1_binary64_10710` `add-log-exp_binary64_10688`
2×	`frac-2neg_binary64_10660` `clear-num_binary64_10648`

Counts

3 → 110

Calls

3 calls:

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

Compiler

Compiled 1795 to 419 computations (76.7% saved)

series463.0ms (7.8%)

Error

Counts

3 → 25

Calls

3 calls:

209.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
189.0ms	(/.f64 x (sinh.f64 y))
45.0ms	(sinh.f64 y)

Compiler

Compiled 1044 to 711 computations (31.9% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4973	2531
1	4973	2531

prune91.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	136	7	143

Error

Counts

143 → 7

Compiler

Compiled 2042 to 507 computations (75.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 1 (sinh.f64 y))
0.2b	(*.f64 x (/.f64 1 (sinh.f64 y)))
0.5b	(/.f64 (sin.f64 x) (*.f64 x (/.f64 1 (sinh.f64 y))))

rewrite109.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64_10687`
29×	`add-sqr-sqrt_binary64_10671`
23×	`times-frac_binary64_10655` `*-un-lft-identity_binary64_10649`
22×	`add-cube-cbrt_binary64_10684`
20×	`add-cbrt-cube_binary64_10685`
14×	`associate-r_binary64_10589`
11×	`div-exp_binary64_10700`
8×	`prod-exp_binary64_10698`
7×	`pow1_binary64_10710`
6×	`cbrt-undiv_binary64_10683` `associate-/l*_binary64_10594`
4×	`add-log-exp_binary64_10688` `cbrt-unprod_binary64_10682` `associate-/r/_binary64_10595` `associate-/r*_binary64_10593`
3×	`1-exp_binary64_10693` `rec-exp_binary64_10699` `div-inv_binary64_10646` `unswap-sqr_binary64_10617` `associate-l_binary64_10590` `sinh-def_binary64_10834`
2×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `un-div-inv_binary64_10647` `associate-*r/_binary64_10591`
1×	`pow-prod-down_binary64_10720` `*-commutative_binary64_10580` `inv-pow_binary64_10734` `pow-flip_binary64_10723`

Counts

4 → 104

Calls

4 calls:

8.0ms	(/.f64 (sin.f64 x) (*.f64 x (/.f64 1 (sinh.f64 y))))
8.0ms	(*.f64 x (/.f64 1 (sinh.f64 y)))
4.0ms	(/.f64 1 (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1594 to 785 computations (50.8% saved)

series530.0ms (8.9%)

Error

Counts

4 → 31

Calls

4 calls:

210.0ms	(/.f64 (sin.f64 x) (*.f64 x (/.f64 1 (sinh.f64 y))))
179.0ms	(*.f64 x (/.f64 1 (sinh.f64 y)))
74.0ms	(/.f64 1 (sinh.f64 y))
45.0ms	(sinh.f64 y)

Compiler

Compiled 1277 to 891 computations (30.2% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5076	1562

prune86.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	135	7	142

Error

Counts

142 → 7

Compiler

Compiled 1706 to 682 computations (60% saved)

regimes282.0ms (4.7%)

Accuracy

Total 0.1b remaining (78.8%)

Threshold costs 0.1b (78.8%)

Compiler

Compiled 2475 to 1646 computations (33.5% 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

Removed

()

end0.0ms (0%)

sample2.3s (38.6%)

Algorithm

1×

intervals

Results

390.0ms	1967×	body	1024	invalid
307.0ms	6231×	body	128	valid
155.0ms	640×	body	1024	valid
142.0ms	964×	body	512	invalid
98.0ms	695×	body	512	valid
53.0ms	502×	body	256	invalid
48.0ms	766×	body	128	invalid
42.0ms	434×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 611 to 413 computations (32.4% saved)

Details

analyze486.0ms (8.2%)

sample55.0ms (0.9%)

simplify63.0ms (1.1%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite52.0ms (0.9%)

series427.0ms (7.2%)

simplify68.0ms (1.1%)

prune64.0ms (1.1%)

localize6.0ms (0.1%)

rewrite60.0ms (1%)

series416.0ms (7%)

simplify72.0ms (1.2%)

prune67.0ms (1.1%)

localize6.0ms (0.1%)

rewrite90.0ms (1.5%)

series463.0ms (7.8%)

simplify78.0ms (1.3%)

prune91.0ms (1.5%)

localize7.0ms (0.1%)

rewrite109.0ms (1.8%)

series530.0ms (8.9%)

simplify62.0ms (1%)

prune86.0ms (1.5%)

regimes282.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (38.6%)

Profiling