Details

analyze343.0ms (7.8%)

Algorithm

1×

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)

sample64.0ms (1.4%)

Algorithm

1×

intervals

Results

16.0ms	70×	body	1024	invalid
16.0ms	64×	body	1024	valid
6.0ms	138×	body	128	valid
5.0ms	36×	body	512	invalid
5.0ms	37×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	22×	body	128	invalid
1.0ms	10×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify231.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4865	11
1	4865	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_4142`
19×	`times-frac_binary64_4127`
18×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
13×	`associate-r_binary64_4063`
9×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
4×	`pow1_binary64_4179`
3×	`associate-l_binary64_4064` `associate-/r_binary64_4067` `associate-/l_binary64_4068`
2×	`cbrt-unprod_binary64_4151` `div-exp_binary64_4169` `div-inv_binary64_4118` `cbrt-undiv_binary64_4152` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `unswap-sqr_binary64_4089`
1×	`sinh-def_binary64_4303` `associate-/l/_binary64_4070` `-commutative_binary64_4054` `frac-2neg_binary64_4132` `pow-prod-down_binary64_4189` `clear-num_binary64_4120` `associate-r/_binary64_4065`

Counts

2 → 60

Calls

2 calls:

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

series314.0ms (7.1%)

Counts

2 → 6

Calls

2 calls:

187.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
127.0ms	(/.f64 (sinh.f64 y) y)

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5316	904

prune43.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

Compiler

Compiled 865 to 216 computations (75% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite48.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64_4142`
70×	`cbrt-prod_binary64_4149`
65×	`times-frac_binary64_4127`
59×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
41×	`cube-prod_binary64_4146` `unpow-prod-down_binary64_4197`
35×	`associate-r_binary64_4063`
11×	`add-exp-log_binary64_4156`
10×	`add-cbrt-cube_binary64_4154`
7×	`div-inv_binary64_4118` `unswap-sqr_binary64_4089` `pow1_binary64_4179`
4×	`add-log-exp_binary64_4157` `sqr-pow_binary64_4093`
3×	`associate-l_binary64_4064` `associate-/r_binary64_4067` `unpow3_binary64_4184` `cube-mult_binary64_4148` `pow-unpow_binary64_4195` `cube-div_binary64_4147` `associate-/l_binary64_4068`
2×	`div-exp_binary64_4169` `cbrt-undiv_binary64_4152` `pow-exp_binary64_4186` `rem-cube-cbrt_binary64_4143` `cbrt-div_binary64_4150`
1×	`cbrt-unprod_binary64_4151` `sinh-def_binary64_4303` `associate-/l/_binary64_4070` `prod-exp_binary64_4167` `pow1/3_binary64_4200` `rem-cbrt-cube_binary64_4144` `-commutative_binary64_4054` `frac-2neg_binary64_4132` `pow-to-exp_binary64_4187` `pow-pow_binary64_4190` `pow-prod-down_binary64_4189` `clear-num_binary64_4120` `associate-r/_binary64_4065`

Counts

4 → 173

Calls

4 calls:

16.0ms	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
6.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
4.0ms	(/.f64 (sinh.f64 y) y)

series694.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
197.0ms	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
132.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
123.0ms	(/.f64 (sinh.f64 y) y)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5891	2655

prune132.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	185	2	187

Merged error: 0b

Counts

187 → 2

Compiler

Compiled 2813 to 986 computations (64.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sinh.f64 y) (cos.f64 x))
0.2b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
8×	`add-sqr-sqrt_binary64_4142`
6×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
4×	`pow1_binary64_4179`
3×	`associate-l_binary64_4064` `associate-r_binary64_4063` `associate-/r*_binary64_4067` `times-frac_binary64_4127`
2×	`cbrt-unprod_binary64_4151` `div-exp_binary64_4169` `sinh-def_binary64_4303` `cbrt-undiv_binary64_4152` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `associate-*l/_binary64_4066`
1×	`div-inv_binary64_4118` `associate-/l/_binary64_4070` `-commutative_binary64_4054` `unswap-sqr_binary64_4089` `frac-2neg_binary64_4132` `pow-prod-down_binary64_4189` `associate-/l_binary64_4068` `clear-num_binary64_4120`

Counts

2 → 41

Calls

2 calls:

6.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
5.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))

series293.0ms (6.6%)

Counts

2 → 6

Calls

2 calls:

154.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
138.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5403	612

prune26.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Merged error: 0b

Counts

49 → 2

Compiler

Compiled 540 to 152 computations (71.9% saved)

regimes31.0ms (0.7%)

Compiler: Compiled 84 to 82 computations (2.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample2.0s (44.3%)

Algorithm

1×

intervals

Results

512.0ms	2035×	body	1024	valid
444.0ms	1917×	body	1024	invalid
215.0ms	4461×	body	128	valid
154.0ms	1011×	body	512	valid
137.0ms	912×	body	512	invalid
48.0ms	485×	body	256	valid
46.0ms	464×	body	256	invalid
39.0ms	654×	body	128	invalid
7.0ms	8×	body	2048	valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

Details

analyze343.0ms (7.8%)

sample64.0ms (1.4%)

simplify231.0ms (5.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite17.0ms (0.4%)

series314.0ms (7.1%)

simplify54.0ms (1.2%)

prune43.0ms (1%)

localize13.0ms (0.3%)

rewrite48.0ms (1.1%)

series694.0ms (15.7%)

simplify78.0ms (1.8%)

prune132.0ms (3%)

localize7.0ms (0.2%)

rewrite13.0ms (0.3%)

series293.0ms (6.6%)

simplify44.0ms (1%)

prune26.0ms (0.6%)

regimes31.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (44.3%)

Profiling