Details

analyze565.0ms (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)

sample66.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	69×	body	1024	valid
13.0ms	65×	body	1024	invalid
7.0ms	145×	body	128	valid
4.0ms	28×	body	512	invalid
4.0ms	29×	body	512	valid
2.0ms	29×	body	128	invalid
1.0ms	14×	body	256	invalid
1.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5030	11

prune4.0ms (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)

localize8.0ms (0.1%)

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)

rewrite89.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_4874`
19×	`add-cube-cbrt_binary64_4887` `times-frac_binary64_4858` `*-un-lft-identity_binary64_4852`
13×	`associate-r_binary64_4792`
10×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
5×	`pow1_binary64_4913`
3×	`add-log-exp_binary64_4891` `associate-/l_binary64_4797` `associate-/r_binary64_4796` `associate-l_binary64_4793`
2×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `div-inv_binary64_4849` `sinh-def_binary64_5037` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820`
1×	`frac-2neg_binary64_4863` `clear-num_binary64_4851` `associate-/l/_binary64_4799` `pow-prod-down_binary64_4923` `associate-r/_binary64_4794` `-commutative_binary64_4783`

Counts

3 → 68

Calls

3 calls:

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

Compiler

Compiled 942 to 236 computations (74.9% saved)

series435.0ms (5.4%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

265.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
82.0ms	(/.f64 (sinh.f64 y) y)
55.0ms	(sinh.f64 y)

Compiler

Compiled 1103 to 767 computations (30.5% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5268	1423

prune79.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	2	93

Error

0.0b

Counts

93 → 2

Compiler

Compiled 1287 to 400 computations (68.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite264.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`times-frac_binary64_4858`
106×	`add-sqr-sqrt_binary64_4874`
94×	`*-un-lft-identity_binary64_4852`
92×	`add-cube-cbrt_binary64_4887`
47×	`associate-r_binary64_4792`
36×	`add-exp-log_binary64_4890`
20×	`add-cbrt-cube_binary64_4888`
17×	`associate-/r*_binary64_4796`
15×	`div-exp_binary64_4903`
10×	`div-inv_binary64_4849` `associate-/r/_binary64_4798`
9×	`sinh-def_binary64_5037`
7×	`pow1_binary64_4913` `cbrt-undiv_binary64_4886` `prod-exp_binary64_4901`
6×	`associate-/l*_binary64_4797`
5×	`unswap-sqr_binary64_4820`
4×	`add-log-exp_binary64_4891` `1-exp_binary64_4896` `rec-exp_binary64_4902`
3×	`cbrt-unprod_binary64_4885` `associate-l_binary64_4793`
2×	`frac-2neg_binary64_4863` `clear-num_binary64_4851`
1×	`inv-pow_binary64_4937` `pow-flip_binary64_4926` `pow-prod-down_binary64_4923` `un-div-inv_binary64_4850` `associate-r/_binary64_4794` `-commutative_binary64_4783`

Counts

4 → 192

Calls

4 calls:

23.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
4.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 3516 to 1436 computations (59.2% saved)

series573.0ms (7.1%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

291.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
127.0ms	(/.f64 y (sinh.f64 y))
78.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
47.0ms	(sinh.f64 y)

Compiler

Compiled 1356 to 982 computations (27.6% saved)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4962	3621
1	4962	3621

prune184.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	220	4	224

Error

Counts

224 → 4

Compiler

Compiled 3526 to 1201 computations (65.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite309.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`times-frac_binary64_4858`
102×	`add-sqr-sqrt_binary64_4874`
95×	`*-un-lft-identity_binary64_4852`
94×	`sqrt-prod_binary64_4868`
93×	`add-cube-cbrt_binary64_4887`
50×	`associate-r_binary64_4792`
13×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
11×	`pow1_binary64_4913`
10×	`div-inv_binary64_4849`
9×	`associate-/r/_binary64_4798`
8×	`sinh-def_binary64_5037`
6×	`associate-/l_binary64_4797` `associate-/r_binary64_4796`
5×	`sqrt-div_binary64_4869` `rem-sqrt-square_binary64_4865`
4×	`add-log-exp_binary64_4891`
3×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `associate-*r/_binary64_4794` `sqrt-pow1_binary64_4870`
2×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `clear-num_binary64_4851`
1×	`frac-times_binary64_4862` `associate-l/_binary64_4795` `associate-l_binary64_4793` `-commutative_binary64_4783` `pow1/2_binary64_4932` `inv-pow_binary64_4937` `pow-flip_binary64_4926` `associate-/l/_binary64_4799`

Counts

4 → 188

Calls

4 calls:

30.0ms	(.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y)))))
12.0ms	(sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y))))
4.0ms	(/.f64 (sinh.f64 y) y)
4.0ms	(/.f64 y (sinh.f64 y))

Compiler

Compiled 4876 to 1782 computations (63.5% saved)

series652.0ms (8.1%)

Error

Counts

4 → 30

Calls

4 calls:

297.0ms	(.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y)))))
128.0ms	(/.f64 y (sinh.f64 y))
100.0ms	(/.f64 (sinh.f64 y) y)
91.0ms	(sqrt.f64 (/.f64 1 (/.f64 y (sinh.f64 y))))

Compiler

Compiled 1881 to 1322 computations (29.7% saved)

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4998	4133
1	4998	4133

prune255.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	218	4	222

Error

Counts

222 → 4

Compiler

Compiled 4795 to 1503 computations (68.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite213.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

101×	`times-frac_binary64_4858`
71×	`add-sqr-sqrt_binary64_4874`
65×	`*-un-lft-identity_binary64_4852`
64×	`add-cube-cbrt_binary64_4887`
60×	`log-pow_binary64_4941`
58×	`associate-r_binary64_4792`
56×	`exp-prod_binary64_4904`
15×	`add-exp-log_binary64_4890`
11×	`add-cbrt-cube_binary64_4888`
10×	`pow1_binary64_4913`
7×	`sinh-def_binary64_5037`
6×	`div-inv_binary64_4849` `associate-/r/_binary64_4798`
4×	`log-prod_binary64_4938` `add-log-exp_binary64_4891` `prod-exp_binary64_4901`
3×	`div-exp_binary64_4903` `associate-/l_binary64_4797` `associate-/r_binary64_4796` `unswap-sqr_binary64_4820` `associate-l_binary64_4793`
2×	`cbrt-undiv_binary64_4886` `cbrt-unprod_binary64_4885`
1×	`exp-lft-sqr_binary64_4907` `rem-log-exp_binary64_4893` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `pow-prod-down_binary64_4923` `1-exp_binary64_4896` `rec-exp_binary64_4902` `un-div-inv_binary64_4850` `associate-r/_binary64_4794` `-commutative_binary64_4783`

Counts

4 → 144

Calls

4 calls:

28.0ms	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
6.0ms	(/.f64 y (sinh.f64 y))
5.0ms	(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
2.0ms	(sinh.f64 y)

Compiler

Compiled 2922 to 1173 computations (59.9% saved)

series838.0ms (10.4%)

Error

Counts

4 → 30

Calls

4 calls:

523.0ms	(*.f64 (cos.f64 x) (/.f64 1 (log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
114.0ms	(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
108.0ms	(/.f64 y (sinh.f64 y))
54.0ms	(sinh.f64 y)

Compiler

Compiled 1304 to 954 computations (26.8% saved)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4948	2351
1	4948	2351

prune227.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	174	4	178

Error

Counts

178 → 4

Compiler

Compiled 2939 to 1137 computations (61.3% saved)

regimes200.0ms (2.5%)

Accuracy

Total 0.0b remaining (88.3%)

Threshold costs 0.0b (88.3%)

Compiler

Compiled 1475 to 1069 computations (27.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	23
1	12	23

end0.0ms (0%)

sample2.6s (31.9%)

Algorithm

1×

intervals

Results

508.0ms	2056×	body	1024	valid
425.0ms	1929×	body	1024	invalid
242.0ms	4421×	body	128	valid
176.0ms	1024×	body	512	valid
151.0ms	964×	body	512	invalid
55.0ms	492×	body	256	valid
50.0ms	478×	body	256	invalid
43.0ms	702×	body	128	invalid
4.0ms	7×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 302 to 219 computations (27.5% saved)

Details

analyze565.0ms (7%)

sample66.0ms (0.8%)

simplify63.0ms (0.8%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite89.0ms (1.1%)

series435.0ms (5.4%)

simplify74.0ms (0.9%)

prune79.0ms (1%)

localize7.0ms (0.1%)

rewrite264.0ms (3.3%)

series573.0ms (7.1%)

simplify123.0ms (1.5%)

prune184.0ms (2.3%)

localize19.0ms (0.2%)

rewrite309.0ms (3.8%)

series652.0ms (8.1%)

simplify113.0ms (1.4%)

prune255.0ms (3.2%)

localize10.0ms (0.1%)

rewrite213.0ms (2.6%)

series838.0ms (10.4%)

simplify115.0ms (1.4%)

prune227.0ms (2.8%)

regimes200.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (31.9%)

Profiling