Date:	Wednesday, June 15th, 2022
Commit:	120a8734 on main
Hostname:	warfa with Racket 8.1
Seed:	2022166
Parameters:	256 points for 4 iterations
Flags:	`reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplify` default

Details

sample9.6min (56.8%)

Results

2.5min	16299×	body	8192	exit
1.8min	69567×	body	1024	valid
1.3min	8988×	body	4096	valid
48.6s	257070×	body	128	valid
46.8s	14539×	body	2048	valid
35.1s	1630×	body	8192	valid
28.4s	34930×	body	512	valid
24.6s	12145×	body	1024	invalid
14.5s	37327×	body	256	valid
12.3s	44282×	body	128	invalid
8.3s	6600×	body	512	invalid
7.9s	917×	body	4096	invalid
7.7s	2391×	body	2048	invalid
2.5s	3344×	body	256	invalid
603.0ms	34×	body	8192	invalid

Compiler

Compiled 3814 to 2659 computations (30.3% saved)

analyze2.5min (14.9%)

Algorithm

53×

Search

True	Other	False	Iter
0%	79.4%	20.6%	0
1.9%	77.5%	20.6%	1
4%	75%	21%	2
10.7%	66.2%	23%	3
16.3%	58.5%	25.3%	4
20.4%	53%	26.6%	5
23.9%	48%	28.1%	6
25.6%	45.2%	29.2%	7
27%	43%	30%	8
29.4%	39.5%	31.1%	9
30.4%	38.1%	31.5%	10
32%	36%	31.9%	11
33.5%	34.1%	32.4%	12
34.5%	32.7%	32.8%	13
35.4%	31.6%	33%	14

Compiler

Compiled 1919 to 1338 computations (30.3% saved)

series1.8min (11%)

Counts

470 → 9908

Calls

2722 calls:

Time	Variable		Expression
10.5s	angle	@	(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 (.f64 a (/.f64 (.f64 (.f64 b (neg.f64 a)) 8) (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 a (.f64 (neg.f64 a) (.f64 b b)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 (/.f64 x-scale (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))))))))) (.f64 a (.f64 (.f64 b b) (.f64 a -4)))) (neg.f64 (pow.f64 (.f64 x-scale y-scale) 2)))
8.6s	angle	@	(/.f64 (sqrt.f64 (.f64 b (.f64 (.f64 a (/.f64 (.f64 (.f64 b (neg.f64 a)) 8) (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 a (.f64 (neg.f64 a) (.f64 b b)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 (/.f64 x-scale (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))))))))))) (.f64 a (.f64 (.f64 b b) (.f64 a -4))))
4.6s	angle	@	(/.f64 (sqrt.f64 (.f64 b (.f64 (.f64 a (.f64 a (.f64 (neg.f64 b) (/.f64 (.f64 8 (.f64 b a)) (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (neg.f64 a))))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) y-scale)))))))) (.f64 (.f64 a (neg.f64 a)) (*.f64 b b)))
4.3s	y-scale	@	(/.f64 (sqrt.f64 (.f64 b (.f64 (.f64 a (.f64 a (.f64 (neg.f64 b) (/.f64 (.f64 8 (.f64 b a)) (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (neg.f64 a))))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) y-scale)))))))) (.f64 (.f64 a (neg.f64 a)) (*.f64 b b)))
4.0s	a	@	(/.f64 (sqrt.f64 (.f64 b (.f64 (.f64 a (.f64 a (.f64 (neg.f64 b) (/.f64 (.f64 8 (.f64 b a)) (/.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 b (neg.f64 a))))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) y-scale)))))))) (.f64 (.f64 a (neg.f64 a)) (*.f64 b b)))

prune1.3min (7.6%)

Counts: 30613 → 2298
Compiler: Compiled 2066412 to 1150469 computations (44.3% saved)

simplify32.5s (3.2%)

Algorithm

269×	egg-herbie

Rules

67165×	`fma-def_binary64`
66482×	`fma-neg_binary64`
41826×	`associate-l_binary64`
38940×	`cancel-sign-sub-inv_binary64`
35479×	`times-frac_binary64`

Stop Event

184×	node limit
85×	saturated

Counts

24433 → 20592

regimes31.7s (3.1%)

Counts: 5097 → 74
Compiler: Compiled 184841 to 92046 computations (50.2% saved)

end16.0s (1.6%)

Stop Event

36×	fuel
13×	done

Compiler

Compiled 30491 to 20686 computations (32.2% saved)

rewrite9.0s (0.9%)

Algorithm

169×	batch-egg-rewrite
5×	egg-rewrite-iter-limit
3×	egg-rewrite

Rules

53217×	`expm1-log1p-u_binary64`
53205×	`log1p-expm1-u_binary64`
43535×	`pow1_binary64`
37145×	`add-log-exp_binary64`
27895×	`add-exp-log_binary64`

Stop Event

6×	unsound
166×	node limit
5×	iter limit

Counts

470 → 14654

bsearch4.4s (0.4%)

Algorithm

18×	binary-search
7×	left-value

Calls

7 calls:

2.2s	y-scale
1.4s	b
748.0ms	C
75.0ms	x
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 71 to 52 computations (26.8% saved)

localize3.1s (0.3%)

preprocess2.1s (0.2%)

Algorithm

102×	egg-herbie

Rules

21168×	`fma-def_binary64`
12225×	`fma-neg_binary64`
8411×	`div-sub_binary64`
7733×	`distribute-rgt-in_binary64`
6807×	`associate-l_binary64`

Stop Event

6×	unsound
37×	node limit
59×	saturated

Compiler

Compiled 1622 to 1110 computations (31.6% saved)

Details

sample9.6min (56.8%)

analyze2.5min (14.9%)

series1.8min (11%)

prune1.3min (7.6%)

simplify32.5s (3.2%)

regimes31.7s (3.1%)

end16.0s (1.6%)

rewrite9.0s (0.9%)

bsearch4.4s (0.4%)

localize3.1s (0.3%)

preprocess2.1s (0.2%)

Profiling