Details

analyze503.0ms (1.1%)

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)

sample1.3s (2.8%)

Algorithm

1×

intervals

Results

13.0ms	70×	body	1024	invalid
13.0ms	53×	body	1024	valid
10.0ms	129×	body	128	invalid
7.0ms	162×	body	128	valid
4.0ms	29×	body	512	valid
3.0ms	21×	body	512	invalid
2.0ms	23×	body	256	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 4007 to 4506 computations (-12.5% saved)

simplify58.0ms (0.1%)

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)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

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

rewrite73.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_3510`
19×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `times-frac_binary64_3494`
13×	`associate-r_binary64_3428`
10×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`pow1_binary64_3549`
3×	`add-log-exp_binary64_3527` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `associate-l_binary64_3429`
2×	`sinh-def_binary64_3673` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `associate-/l/_binary64_3435` `pow-prod-down_binary64_3559` `associate-r/_binary64_3430` `-commutative_binary64_3419`

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)

series506.0ms (1.1%)

Error

0.0b

Counts

3 → 22

Calls

3 calls:

306.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
104.0ms	(/.f64 (sinh.f64 y) y)
71.0ms	(sinh.f64 y)

Compiler

Compiled 877 to 633 computations (27.8% saved)

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4959	1211
1	4959	1211

prune75.0ms (0.2%)

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

Counts

91 → 4

Compiler

Compiled 1182 to 361 computations (69.5% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
0.0b	(sinh.f64 y)
0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)

rewrite154.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`times-frac_binary64_3494`
42×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
32×	`cbrt-prod_binary64_3519`
26×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
9×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`div-inv_binary64_3485` `pow1_binary64_3549`
4×	`add-log-exp_binary64_3527`
3×	`pow-unpow_binary64_3565` `associate-/l_binary64_3433` `associate-/r_binary64_3432`
2×	`div-exp_binary64_3539` `pow-exp_binary64_3556` `unpow3_binary64_3554` `cube-mult_binary64_3518` `cube-div_binary64_3517` `rem-cube-cbrt_binary64_3511` `cbrt-undiv_binary64_3522` `sqr-pow_binary64_3460` `sinh-def_binary64_3673`
1×	`pow-pow_binary64_3560` `pow-to-exp_binary64_3557` `pow1/3_binary64_3570` `cbrt-div_binary64_3520` `rem-cbrt-cube_binary64_3512` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `associate-/l/_binary64_3435`

Counts

4 → 124

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
5.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 2262 to 955 computations (57.8% saved)

series488.0ms (1.1%)

Error

Counts

4 → 24

Calls

4 calls:

174.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
120.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
100.0ms	(/.f64 (sinh.f64 y) y)
68.0ms	(sinh.f64 y)

Compiler

Compiled 950 to 788 computations (17.1% saved)

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5324	1965

prune134.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	149	3	152

Error

Counts

152 → 3

Compiler

Compiled 2198 to 905 computations (58.8% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3/2)
0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.0b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3/2) (pow.f64 (/.f64 (sinh.f64 y) y) 3/2)))

rewrite88.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64_3567`
12×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`times-frac_binary64_3494`
7×	`add-exp-log_binary64_3526`
5×	`pow1_binary64_3549`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
3×	`pow-unpow_binary64_3565`
2×	`sinh-def_binary64_3673` `pow-exp_binary64_3556`
1×	`pow1/3_binary64_3570` `cbrt-prod_binary64_3519` `div-inv_binary64_3485` `pow-pow_binary64_3560` `pow-to-exp_binary64_3557` `div-exp_binary64_3539` `sqr-pow_binary64_3460`

Counts

4 → 53

Calls

4 calls:

8.0ms	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3/2) (pow.f64 (/.f64 (sinh.f64 y) y) 3/2)))
5.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3/2)
1.0ms	(sinh.f64 y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 1281 to 593 computations (53.7% saved)

series573.0ms (1.2%)

Error

Counts

4 → 24

Calls

4 calls:

287.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3/2)
121.0ms	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3/2) (pow.f64 (/.f64 (sinh.f64 y) y) 3/2)))
68.0ms	(sinh.f64 y)
64.0ms	(sinh.f64 y)

Compiler

Compiled 1254 to 956 computations (23.8% saved)

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4925	1032
1	4925	1032

prune93.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

80 → 3

Compiler

Compiled 1635 to 778 computations (52.4% saved)

regimes182.0ms (0.4%)

Accuracy

Total 0.0b remaining (81.1%)

Threshold costs 0.0b (81.1%)

Compiler

Compiled 1290 to 984 computations (23.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	23
1	10	23

end0.0ms (0%)

sample41.5s (90.3%)

Algorithm

1×

intervals

Results

395.0ms	2018×	body	1024	valid
378.0ms	2022×	body	1024	invalid
291.0ms	4307×	body	128	invalid
191.0ms	4498×	body	128	valid
138.0ms	995×	body	512	invalid
125.0ms	974×	body	512	valid
50.0ms	494×	body	256	invalid
47.0ms	508×	body	256	valid
1.0ms	2×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 126826 to 142578 computations (-12.4% saved)

Details

analyze503.0ms (1.1%)

sample1.3s (2.8%)

simplify58.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite73.0ms (0.2%)

series506.0ms (1.1%)

simplify68.0ms (0.1%)

prune75.0ms (0.2%)

localize8.0ms (0%)

rewrite154.0ms (0.3%)

series488.0ms (1.1%)

simplify49.0ms (0.1%)

prune134.0ms (0.3%)

localize10.0ms (0%)

rewrite88.0ms (0.2%)

series573.0ms (1.2%)

simplify62.0ms (0.1%)

prune93.0ms (0.2%)

regimes182.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample41.5s (90.3%)

Profiling