Details

analyze530.0ms (12.5%)

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)

sample81.0ms (1.9%)

Algorithm

1×

intervals

Results

19.0ms	61×	body	1024	valid
16.0ms	61×	body	1024	invalid
10.0ms	148×	body	128	valid
7.0ms	34×	body	512	valid
6.0ms	31×	body	128	invalid
5.0ms	26×	body	512	invalid
2.0ms	14×	body	256	invalid
2.0ms	13×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify189.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2487`
13×	`associate-r_binary64_2405`
10×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471` `add-cube-cbrt_binary64_2500`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`pow1_binary64_2526`
3×	`associate-l_binary64_2406`
2×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`sinh-def_binary64_2650` `-commutative_binary64_2396` `associate-r/_binary64_2407` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `pow-prod-down_binary64_2536`

Counts

2 → 40

Calls

2 calls:

15.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(sinh.f64 y)

series213.0ms (5%)

Counts

2 → 6

Calls

2 calls:

129.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
83.0ms	(sinh.f64 y)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5365	622

prune49.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 594 to 169 computations (71.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sinh.f64 y) (cos.f64 x))
0.3b	(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_2503`
17×	`add-cbrt-cube_binary64_2501`
16×	`associate-r_binary64_2405`
14×	`add-sqr-sqrt_binary64_2487`
13×	`prod-exp_binary64_2514`
12×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`pow1_binary64_2526`
9×	`times-frac_binary64_2471`
7×	`cbrt-unprod_binary64_2498`
4×	`associate-l/_binary64_2408` `sinh-def_binary64_2650` `div-exp_binary64_2516` `pow-prod-down_binary64_2536` `associate-l*_binary64_2406`
3×	`add-log-exp_binary64_2504`
2×	`*-commutative_binary64_2396` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `1-exp_binary64_2509`
1×	`frac-times_binary64_2475` `associate-*r/_binary64_2407` `un-div-inv_binary64_2463` `unswap-sqr_binary64_2433` `div-inv_binary64_2462`

Counts

3 → 67

Calls

3 calls:

9.0ms	(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
4.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
1.0ms	(sinh.f64 y)

series240.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
87.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
64.0ms	(sinh.f64 y)

simplify92.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4946	969
1	4946	969

prune87.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

78 → 2

Compiler

Compiled 969 to 353 computations (63.6% saved)

regimes79.0ms (1.9%)

Accuracy

Total 0.0b remaining (61.8%)

Threshold costs 0.0b (61.8%)

Compiler

Compiled 215 to 174 computations (19.1% 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%)

sample2.5s (59.6%)

Algorithm

1×

intervals

Results

579.0ms	1993×	body	1024	valid
532.0ms	2003×	body	1024	invalid
302.0ms	4515×	body	128	valid
188.0ms	1033×	body	512	invalid
186.0ms	971×	body	512	valid
67.0ms	514×	body	256	valid
63.0ms	514×	body	256	invalid
58.0ms	729×	body	128	invalid
4.0ms	7×	body	2048	valid

Compiler

Compiled 52 to 43 computations (17.3% saved)

Details

analyze530.0ms (12.5%)

sample81.0ms (1.9%)

simplify189.0ms (4.5%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite23.0ms (0.5%)

series213.0ms (5%)

simplify82.0ms (1.9%)

prune49.0ms (1.1%)

localize7.0ms (0.2%)

rewrite22.0ms (0.5%)

series240.0ms (5.7%)

simplify92.0ms (2.2%)

prune87.0ms (2.1%)

regimes79.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (59.6%)

Profiling