Details

analyze647.0ms (11.5%)

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
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)

sample96.0ms (1.7%)

Algorithm

1×

intervals

Results

22.0ms	61×	body	1024	valid
21.0ms	63×	body	1024	invalid
13.0ms	156×	body	128	valid
7.0ms	28×	body	512	valid
6.0ms	26×	body	512	invalid
4.0ms	23×	body	256	invalid
2.0ms	26×	body	128	invalid
2.0ms	11×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify266.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5030	11

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2487`
19×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471` `add-cube-cbrt_binary64_2500`
13×	`associate-r_binary64_2405`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `associate-/r_binary64_2409` `associate-/l_binary64_2410` `associate-l_binary64_2406`
2×	`sinh-def_binary64_2650` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `div-inv_binary64_2462` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`-commutative_binary64_2396` `associate-/l/_binary64_2412` `associate-r/_binary64_2407` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536`

Counts

3 → 68

Calls

3 calls:

14.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(sinh.f64 y)

series370.0ms (6.6%)

Counts

3 → 9

Calls

3 calls:

181.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
119.0ms	(/.f64 (sinh.f64 y) y)
69.0ms	(sinh.f64 y)

simplify111.0ms (2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	6416	1002

prune88.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 986 to 261 computations (73.5% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sinh.f64 y) (cos.f64 x))
0.2b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-sqr-sqrt_binary64_2487`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
5×	`pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `sinh-def_binary64_2650` `times-frac_binary64_2471` `associate-/r_binary64_2409` `associate-r_binary64_2405` `associate-l*_binary64_2406`
2×	`associate-*l/_binary64_2408` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`-commutative_binary64_2396` `associate-/l/_binary64_2412` `clear-num_binary64_2464` `unswap-sqr_binary64_2433` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `associate-/l_binary64_2410`

Counts

3 → 49

Calls

3 calls:

10.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
9.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
2.0ms	(sinh.f64 y)

series348.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

145.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
129.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
74.0ms	(sinh.f64 y)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5575	710

prune62.0ms (1.1%)

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

Compiler

Compiled 671 to 203 computations (69.7% saved)

regimes75.0ms (1.3%)

Compiler: Compiled 100 to 94 computations (6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample3.4s (60%)

Algorithm

1×

intervals

Results

1.0s	1980×	body	1024	valid
651.0ms	1940×	body	1024	invalid
369.0ms	4514×	body	128	valid
250.0ms	1048×	body	512	valid
246.0ms	977×	body	512	invalid
85.0ms	500×	body	256	invalid
72.0ms	452×	body	256	valid
69.0ms	741×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 29 to 27 computations (6.9% saved)

Details

analyze647.0ms (11.5%)

sample96.0ms (1.7%)

simplify266.0ms (4.7%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite31.0ms (0.6%)

series370.0ms (6.6%)

simplify111.0ms (2%)

prune88.0ms (1.6%)

localize11.0ms (0.2%)

rewrite27.0ms (0.5%)

series348.0ms (6.2%)

simplify92.0ms (1.6%)

prune62.0ms (1.1%)

regimes75.0ms (1.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.4s (60%)

Profiling