Details

analyze476.0ms (10.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	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
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)

sample54.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	72×	body	1024	invalid
12.0ms	61×	body	1024	valid
7.0ms	148×	body	128	valid
4.0ms	30×	body	512	valid
4.0ms	30×	body	512	invalid
2.0ms	30×	body	128	invalid
1.0ms	17×	body	256	valid
1.0ms	17×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5030	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite16.0ms (0.4%)

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)

series198.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
61.0ms	(/.f64 (sinh.f64 y) y)
36.0ms	(sinh.f64 y)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6416	1002

prune55.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	5	78

Error

Counts

78 → 5

Compiler

Compiled 1050 to 300 computations (71.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64_4192`
66×	`sqrt-prod_binary64_4186`
62×	`times-frac_binary64_4176`
52×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
19×	`pow1_binary64_4231`
18×	`swap-sqr_binary64_4137`
16×	`associate-l_binary64_4111` `associate-r_binary64_4110`
10×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
9×	`unswap-sqr_binary64_4138`
8×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188`
6×	`associate-/l_binary64_4115` `div-inv_binary64_4167` `associate-/r_binary64_4114`
5×	`pow-prod-up_binary64_4240`
4×	`sqrt-div_binary64_4187` `rem-sqrt-square_binary64_4183` `add-log-exp_binary64_4209`
3×	`pow-prod-down_binary64_4241` `sinh-def_binary64_4355` `pow-sqr_binary64_4143`
2×	`sqr-abs_binary64_4185` `frac-2neg_binary64_4181` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117` `clear-num_binary64_4169` `div-exp_binary64_4221`
1×	`frac-times_binary64_4180` `associate-r/_binary64_4112` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-l/_binary64_4113` `pow2_binary64_4251` `sqrt-unprod_binary64_4190` `rem-square-sqrt_binary64_4182` `*-commutative_binary64_4101`

Counts

4 → 153

Calls

4 calls:

17.0ms	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
4.0ms	(/.f64 (sinh.f64 y) y)
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

series324.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
63.0ms	(/.f64 (sinh.f64 y) y)
58.0ms	(/.f64 (sinh.f64 y) y)
36.0ms	(sinh.f64 y)

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4977	2466
1	4977	2466

prune122.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	165	5	170

Error

Counts

170 → 5

Compiler

Compiled 3165 to 778 computations (75.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (sinh.f64 y))
0.6b	(cbrt.f64 (sinh.f64 y))
0.6b	(cbrt.f64 (sinh.f64 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4201`
8×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
4×	`pow1_binary64_4231` `pow1/3_binary64_4252` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209`
3×	`cbrt-div_binary64_4202` `sinh-def_binary64_4355`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt.f64 (sinh.f64 y))
2.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 y)

series545.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt.f64 (sinh.f64 y))
150.0ms	(cbrt.f64 (sinh.f64 y))
146.0ms	(cbrt.f64 (sinh.f64 y))
96.0ms	(cbrt.f64 y)

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4910	586
1	4910	586

prune58.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Error

Counts

64 → 5

Compiler

Compiled 1666 to 369 computations (77.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_4208`
19×	`add-sqr-sqrt_binary64_4192`
17×	`add-cbrt-cube_binary64_4206`
14×	`associate-r_binary64_4110`
13×	`*-un-lft-identity_binary64_4170` `prod-exp_binary64_4219`
12×	`add-cube-cbrt_binary64_4205`
11×	`times-frac_binary64_4176`
10×	`pow1_binary64_4231`
7×	`cbrt-unprod_binary64_4203`
6×	`associate-r/_binary64_4112` `associate-l*_binary64_4111`
5×	`sinh-def_binary64_4355`
4×	`pow-prod-down_binary64_4241` `div-exp_binary64_4221`
3×	`add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
2×	`frac-times_binary64_4180` `1-exp_binary64_4214` `associate-l/_binary64_4113` `rec-exp_binary64_4220` `un-div-inv_binary64_4168` `-commutative_binary64_4101` `cbrt-undiv_binary64_4204`
1×	`div-inv_binary64_4167`

Counts

3 → 72

Calls

3 calls:

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

series187.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

85.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
67.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))
35.0ms	(sinh.f64 y)

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	859
1	4942	859

prune45.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Error

Counts

86 → 5

Compiler

Compiled 957 to 335 computations (65% saved)

regimes108.0ms (2.4%)

Accuracy

Total 0.0b remaining (72.4%)

Threshold costs 0.0b (72.4%)

Compiler

Compiled 830 to 589 computations (29% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	23
1	10	23

end0.0ms (0%)

sample1.8s (40.7%)

Algorithm

1×

intervals

Results

397.0ms	2020×	body	1024	valid
343.0ms	1892×	body	1024	invalid
195.0ms	4489×	body	128	valid
129.0ms	1001×	body	512	valid
125.0ms	968×	body	512	invalid
47.0ms	503×	body	256	invalid
42.0ms	486×	body	256	valid
36.0ms	703×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 182 to 128 computations (29.7% saved)

Details

analyze476.0ms (10.7%)

sample54.0ms (1.2%)

simplify65.0ms (1.5%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite16.0ms (0.4%)

series198.0ms (4.4%)

simplify67.0ms (1.5%)

prune55.0ms (1.2%)

localize8.0ms (0.2%)

rewrite39.0ms (0.9%)

series324.0ms (7.3%)

simplify80.0ms (1.8%)

prune122.0ms (2.8%)

localize14.0ms (0.3%)

rewrite12.0ms (0.3%)

series545.0ms (12.3%)

simplify36.0ms (0.8%)

prune58.0ms (1.3%)

localize7.0ms (0.2%)

rewrite22.0ms (0.5%)

series187.0ms (4.2%)

simplify79.0ms (1.8%)

prune45.0ms (1%)

regimes108.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (40.7%)

Profiling