Details

analyze474.0ms (6.9%)

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample70.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	87×	body	1024	invalid
12.0ms	56×	body	1024	valid
7.0ms	145×	body	128	valid
6.0ms	43×	body	512	valid
5.0ms	97×	body	128	invalid
4.0ms	27×	body	512	invalid
2.0ms	17×	body	256	invalid
1.0ms	11×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_5215`
19×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `times-frac_binary64_5199`
13×	`associate-r_binary64_5133`
10×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
5×	`pow1_binary64_5254`
3×	`add-log-exp_binary64_5232` `associate-l_binary64_5134` `associate-/l_binary64_5138` `associate-/r_binary64_5137`
2×	`div-exp_binary64_5244` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `cbrt-undiv_binary64_5227` `unswap-sqr_binary64_5161` `div-inv_binary64_5190` `sinh-def_binary64_5378`
1×	`pow-prod-down_binary64_5264` `associate-r/_binary64_5135` `-commutative_binary64_5124` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `associate-/l/_binary64_5140`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 942 to 236 computations (74.9% saved)

series344.0ms (5%)

Error

0.0b

Counts

3 → 22

Calls

3 calls:

220.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
64.0ms	(/.f64 (sinh.f64 y) y)
40.0ms	(sinh.f64 y)

Compiler

Compiled 897 to 646 computations (28% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4963	1217
1	4963	1217

prune59.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Error

0.0b

Counts

91 → 4

Compiler

Compiled 1175 to 361 computations (69.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.7b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
9×	`add-sqr-sqrt_binary64_5215`
7×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
5×	`pow1_binary64_5254`
3×	`add-log-exp_binary64_5232` `times-frac_binary64_5199` `sinh-def_binary64_5378` `associate-/r_binary64_5137` `associate-l_binary64_5134` `associate-r*_binary64_5133`
2×	`prod-exp_binary64_5242` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `cbrt-unprod_binary64_5226` `associate-*r/_binary64_5135`
1×	`frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190` `associate-/l/_binary64_5140` `associate-/l_binary64_5138` `pow-prod-down_binary64_5264` `unswap-sqr_binary64_5161` `-commutative_binary64_5124`

Counts

3 → 49

Calls

3 calls:

5.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 621 to 170 computations (72.6% saved)

series423.0ms (6.2%)

Error

Counts

3 → 26

Calls

3 calls:

212.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
148.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
40.0ms	(sinh.f64 y)

Compiler

Compiled 1161 to 782 computations (32.6% saved)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5318	1055

prune51.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Error

Counts

79 → 4

Compiler

Compiled 957 to 354 computations (63% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 y (sinh.f64 y))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

87×	`times-frac_binary64_5199`
54×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
17×	`associate-/r*_binary64_5137`
10×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
6×	`div-inv_binary64_5190` `sinh-def_binary64_5378` `associate-/r/_binary64_5139` `associate-/l*_binary64_5138`
4×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227`
3×	`pow1_binary64_5254` `add-log-exp_binary64_5232`
2×	`frac-2neg_binary64_5204` `clear-num_binary64_5192`

Counts

3 → 110

Calls

3 calls:

6.0ms	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
3.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1795 to 418 computations (76.7% saved)

series362.0ms (5.3%)

Error

Counts

3 → 22

Calls

3 calls:

208.0ms	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
94.0ms	(/.f64 y (sinh.f64 y))
41.0ms	(sinh.f64 y)

Compiler

Compiled 891 to 640 computations (28.2% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4944	2514
1	4944	2514

prune82.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Error

Counts

136 → 4

Compiler

Compiled 1986 to 492 computations (75.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
0.1b	(*.f64 1/6 (pow.f64 y 3))
0.2b	(.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
15.7b	(/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))) y)

rewrite296.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64_5215`
21×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
18×	`associate-r_binary64_5133`
15×	`add-exp-log_binary64_5231`
12×	`add-cbrt-cube_binary64_5229` `times-frac_binary64_5199` `associate-*r/_binary64_5135`
9×	`associate-l_binary64_5134`
8×	`pow1_binary64_5254`
7×	`flip3-+_binary64_5196` `flip-+_binary64_5167`
6×	`associate-/l/_binary64_5140` `unswap-sqr_binary64_5161`
5×	`prod-exp_binary64_5242`
4×	`add-log-exp_binary64_5232` `distribute-lft-out_binary64_5144` `frac-add_binary64_5201` `associate-/l*_binary64_5138` `unpow-prod-down_binary64_5272` `cube-prod_binary64_5221`
3×	`associate-/r_binary64_5137` `cbrt-unprod_binary64_5226` `-commutative_binary64_5124`
2×	`pow-prod-down_binary64_5264` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142` `sqr-pow_binary64_5165`
1×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190` `pow-to-exp_binary64_5262` `pow-exp_binary64_5261` `unpow3_binary64_5259` `cube-mult_binary64_5223`

Counts

4 → 112

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))) y)
8.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
7.0ms	(*.f64 1/6 (pow.f64 y 3))
6.0ms	(.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5))))

Compiler

Compiled 4819 to 3324 computations (31% saved)

series1.1s (16.8%)

Error

Counts

4 → 43

Calls

4 calls:

470.0ms	(/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))) y)
319.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7))))
250.0ms	(.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
40.0ms	(*.f64 1/6 (pow.f64 y 3))

Compiler

Compiled 3297 to 2422 computations (26.5% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4972	4468
1	4972	4468

prune335.0ms (4.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	4	159

Error

Counts

159 → 4

Compiler

Compiled 5669 to 3897 computations (31.3% saved)

regimes201.0ms (2.9%)

Accuracy

Total 0.0b remaining (53.7%)

Threshold costs 0.0b (53.7%)

Compiler

Compiled 1940 to 1364 computations (29.7% 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%)

sample2.4s (35.8%)

Algorithm

1×

intervals

Results

425.0ms	1991×	body	1024	valid
390.0ms	2000×	body	1024	invalid
219.0ms	4470×	body	128	valid
147.0ms	1019×	body	512	valid
137.0ms	950×	body	512	invalid
135.0ms	2541×	body	128	invalid
49.0ms	513×	body	256	valid
46.0ms	496×	body	256	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 397 to 281 computations (29.2% saved)

Details

analyze474.0ms (6.9%)

sample70.0ms (1%)

simplify57.0ms (0.8%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite58.0ms (0.9%)

series344.0ms (5%)

simplify54.0ms (0.8%)

prune59.0ms (0.9%)

localize6.0ms (0.1%)

rewrite42.0ms (0.6%)

series423.0ms (6.2%)

simplify55.0ms (0.8%)

prune51.0ms (0.7%)

localize6.0ms (0.1%)

rewrite85.0ms (1.2%)

series362.0ms (5.3%)

simplify67.0ms (1%)

prune82.0ms (1.2%)

localize19.0ms (0.3%)

rewrite296.0ms (4.3%)

series1.1s (16.8%)

simplify78.0ms (1.1%)

prune335.0ms (4.9%)

regimes201.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (35.8%)

Profiling