Details

analyze848.0ms (11%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14
48.4%	28.1%	23.5%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.3s (17.1%)

Algorithm

2×

intervals

Results

24.0ms	136×	body	1024	invalid
24.0ms	122×	body	1024	valid
15.0ms	279×	body	128	invalid
13.0ms	301×	body	128	valid
8.0ms	62×	body	512	valid
7.0ms	52×	body	512	invalid
4.0ms	27×	body	256	valid
3.0ms	36×	body	256	invalid

Compiler

Compiled 4071 to 4578 computations (-12.5% saved)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5030	11

prune3.0ms (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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 (cos.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)

series547.0ms (7.1%)

Error

Counts

3 → 24

Calls

3 calls:

360.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
97.0ms	(/.f64 (sinh.f64 y) y)
61.0ms	(sinh.f64 y)

Compiler

Compiled 1103 to 767 computations (30.5% saved)

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5268	1423

prune78.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	3	93

Error

Counts

93 → 3

Compiler

Compiled 1319 to 427 computations (67.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
9×	`add-sqr-sqrt_binary64_4192`
7×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
5×	`pow1_binary64_4231`
3×	`add-log-exp_binary64_4209` `times-frac_binary64_4176` `sinh-def_binary64_4355` `associate-/r_binary64_4114` `associate-l_binary64_4111` `associate-r*_binary64_4110`
2×	`prod-exp_binary64_4219` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `cbrt-unprod_binary64_4203` `associate-*r/_binary64_4112`
1×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l/_binary64_4117` `associate-/l_binary64_4115` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138` `-commutative_binary64_4101`

Counts

3 → 49

Calls

3 calls:

5.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
4.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 621 to 170 computations (72.6% saved)

series718.0ms (9.3%)

Error

Counts

3 → 28

Calls

3 calls:

381.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
247.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))
63.0ms	(sinh.f64 y)

Compiler

Compiled 1347 to 892 computations (33.8% saved)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	1250
1	4987	1250

prune62.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Error

Counts

80 → 3

Compiler

Compiled 1083 to 408 computations (62.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (.f64 1/5040 (pow.f64 y 7)))
0.0b	(*.f64 1/120 (pow.f64 y 5))
0.0b	(*.f64 1/5040 (pow.f64 y 7))
0.1b	(*.f64 1/6 (pow.f64 y 3))

rewrite215.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_4192`
26×	`associate-r_binary64_4110`
19×	`add-exp-log_binary64_4208`
14×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
12×	`unpow-prod-down_binary64_4249`
10×	`add-cbrt-cube_binary64_4206` `unswap-sqr_binary64_4138`
9×	`prod-exp_binary64_4219` `add-log-exp_binary64_4209` `associate-l_binary64_4111`
6×	`sqr-pow_binary64_4142`
4×	`pow1_binary64_4231` `cube-prod_binary64_4198`
3×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101` `sum-log_binary64_4261`
1×	`unpow3_binary64_4236` `cube-mult_binary64_4200` `flip3-+_binary64_4173` `flip-+_binary64_4144` `associate-+l+_binary64_4103` `+-commutative_binary64_4100`

Counts

4 → 94

Calls

4 calls:

7.0ms	(*.f64 1/6 (pow.f64 y 3))
6.0ms	(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (.f64 1/5040 (pow.f64 y 7)))
6.0ms	(*.f64 1/120 (pow.f64 y 5))
5.0ms	(*.f64 1/5040 (pow.f64 y 7))

Compiler

Compiled 2925 to 2146 computations (26.6% saved)

series504.0ms (6.5%)

Error

Counts

4 → 18

Calls

4 calls:

290.0ms	(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (.f64 1/5040 (pow.f64 y 7)))
78.0ms	(*.f64 1/5040 (pow.f64 y 7))
57.0ms	(*.f64 1/6 (pow.f64 y 3))
56.0ms	(*.f64 1/120 (pow.f64 y 5))

Compiler

Compiled 1076 to 851 computations (20.9% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5356	1325

prune187.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 3157 to 2279 computations (27.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.2b	(.f64 1/6 (.f64 y y))

rewrite54.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
8×	`add-sqr-sqrt_binary64_4192`
6×	`associate-l_binary64_4111`
5×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
4×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-r_binary64_4110`
2×	`add-log-exp_binary64_4209` `unswap-sqr_binary64_4138` `-commutative_binary64_4101` `associate-r/_binary64_4112`
1×	`distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `flip-+_binary64_4144`

Counts

2 → 41

Calls

2 calls:

6.0ms	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
5.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 717 to 412 computations (42.5% saved)

series284.0ms (3.7%)

Error

Counts

2 → 15

Calls

2 calls:

228.0ms	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
40.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 533 to 451 computations (15.4% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	817
1	4959	817

prune50.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	56	3	59

Error

Counts

59 → 3

Compiler

Compiled 817 to 474 computations (42% saved)

regimes143.0ms (1.9%)

Accuracy

Total 0.0b remaining (91.9%)

Threshold costs 0.0b (91.9%)

Compiler

Compiled 1090 to 874 computations (19.8% 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%)

sample2.3s (29.2%)

Algorithm

1×

intervals

Results

392.0ms	2025×	body	1024	valid
355.0ms	2016×	body	1024	invalid
213.0ms	4475×	body	128	valid
200.0ms	4461×	body	128	invalid
129.0ms	1039×	body	512	valid
120.0ms	959×	body	512	invalid
42.0ms	493×	body	256	invalid
39.0ms	457×	body	256	valid
1.0ms	4×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 227 to 183 computations (19.4% saved)

Details

analyze848.0ms (11%)

sample1.3s (17.1%)

simplify56.0ms (0.7%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite72.0ms (0.9%)

series547.0ms (7.1%)

simplify54.0ms (0.7%)

prune78.0ms (1%)

localize6.0ms (0.1%)

rewrite47.0ms (0.6%)

series718.0ms (9.3%)

simplify56.0ms (0.7%)

prune62.0ms (0.8%)

localize16.0ms (0.2%)

rewrite215.0ms (2.8%)

series504.0ms (6.5%)

simplify67.0ms (0.9%)

prune187.0ms (2.4%)

localize10.0ms (0.1%)

rewrite54.0ms (0.7%)

series284.0ms (3.7%)

simplify69.0ms (0.9%)

prune50.0ms (0.6%)

regimes143.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (29.2%)

Profiling