Details

analyze322.0ms (11%)

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)

sample53.0ms (1.8%)

Algorithm

1×

intervals

Results

12.0ms	60×	body	1024	valid
11.0ms	61×	body	1024	invalid
6.0ms	145×	body	128	valid
5.0ms	38×	body	512	valid
5.0ms	34×	body	512	invalid
1.0ms	27×	body	128	invalid
1.0ms	15×	body	256	invalid
1.0ms	13×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify155.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5030	11

prune2.0ms (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)

localize6.0ms (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)

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_4192`
19×	`*-un-lft-identity_binary64_4170` `times-frac_binary64_4176` `add-cube-cbrt_binary64_4205`
13×	`associate-r_binary64_4110`
10×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
5×	`pow1_binary64_4231`
3×	`associate-l_binary64_4111` `associate-/l_binary64_4115` `add-log-exp_binary64_4209` `associate-/r_binary64_4114`
2×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `div-inv_binary64_4167` `cbrt-undiv_binary64_4204` `sinh-def_binary64_4355` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`
1×	`associate-r/_binary64_4112` `frac-2neg_binary64_4181` `-commutative_binary64_4101` `pow-prod-down_binary64_4241` `associate-/l/_binary64_4117` `clear-num_binary64_4169`

Counts

3 → 68

Calls

3 calls:

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

series190.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
60.0ms	(/.f64 (sinh.f64 y) y)
34.0ms	(sinh.f64 y)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6416	1002

prune46.0ms (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

Error

Counts

78 → 2

Compiler

Compiled 988 to 263 computations (73.4% 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))
0.2b	(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_4208`
17×	`add-cbrt-cube_binary64_4206`
16×	`associate-r_binary64_4110`
14×	`add-sqr-sqrt_binary64_4192`
13×	`prod-exp_binary64_4219`
12×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
10×	`pow1_binary64_4231`
9×	`times-frac_binary64_4176`
7×	`cbrt-unprod_binary64_4203`
4×	`associate-l_binary64_4111` `associate-*l/_binary64_4113` `pow-prod-down_binary64_4241` `sinh-def_binary64_4355` `div-exp_binary64_4221`
3×	`add-log-exp_binary64_4209`
2×	`1-exp_binary64_4214` `rec-exp_binary64_4220` `*-commutative_binary64_4101` `cbrt-undiv_binary64_4204`
1×	`frac-times_binary64_4180` `associate-*r/_binary64_4112` `un-div-inv_binary64_4168` `div-inv_binary64_4167` `unswap-sqr_binary64_4138`

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)

series187.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
68.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
35.0ms	(sinh.f64 y)

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4946	969
1	4946	969

prune47.0ms (1.6%)

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)

regimes48.0ms (1.6%)

Accuracy

Total 0.0b remaining (49.9%)

Threshold costs 0.0b (49.9%)

Compiler

Compiled 225 to 179 computations (20.4% 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%)

sample1.7s (57.9%)

Algorithm

1×

intervals

Results

404.0ms	1991×	body	1024	valid
336.0ms	1900×	body	1024	invalid
201.0ms	4493×	body	128	valid
133.0ms	990×	body	512	valid
125.0ms	932×	body	512	invalid
46.0ms	524×	body	256	valid
46.0ms	470×	body	256	invalid
37.0ms	705×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 54 to 44 computations (18.5% saved)

Details

analyze322.0ms (11%)

sample53.0ms (1.8%)

simplify155.0ms (5.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series190.0ms (6.5%)

simplify66.0ms (2.3%)

prune46.0ms (1.6%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series187.0ms (6.4%)

simplify66.0ms (2.2%)

prune47.0ms (1.6%)

regimes48.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (57.9%)

Profiling