Date:	Thursday, June 9th, 2022
Commit:	9a5982a1 on release-1.6
Hostname:	warfa with Racket 8.1
Seed:	2022160
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

sample9.4min (56.3%)

Results

2.5min	16168×	body	8192	exit
1.7min	69705×	body	1024	valid
1.3min	8886×	body	4096	valid
48.8s	257538×	body	128	valid
44.2s	14330×	body	2048	valid
35.5s	1636×	body	8192	valid
28.0s	34819×	body	512	valid
23.7s	12224×	body	1024	invalid
14.2s	37266×	body	256	valid
10.4s	42473×	body	128	invalid
8.5s	6710×	body	512	invalid
8.2s	2481×	body	2048	invalid
7.3s	852×	body	4096	invalid
2.6s	3448×	body	256	invalid
606.0ms	34×	body	8192	invalid

Compiler

Compiled 3814 to 2659 computations (30.3% saved)

analyze2.3min (14%)

Algorithm

53×

Search

True	Other	False	Iter
0%	79.4%	20.6%	0
1.9%	77.5%	20.6%	1
4.9%	74.1%	21%	2
12.1%	64.8%	23%	3
17.2%	57.5%	25.3%	4
21.8%	51.6%	26.6%	5
25.1%	46.7%	28.2%	6
27%	43.6%	29.4%	7
28.3%	41.5%	30.2%	8
30.8%	37.8%	31.3%	9
31.6%	36.7%	31.7%	10
33%	34.8%	32.2%	11
34.5%	32.8%	32.7%	12
35.6%	31.4%	33.1%	13
36.3%	30.4%	33.3%	14

Compiler

Compiled 1919 to 1338 computations (30.3% saved)

series2.0min (11.7%)

Counts

489 → 10442

Calls

2926 calls:

Time	Variable		Expression
11.0s	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)))
9.8s	angle	@	(.f64 (/.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))) (pow.f64 (*.f64 x-scale y-scale) 2))
8.1s	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))))
3.8s	a	@	(.f64 (/.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))) (pow.f64 (*.f64 x-scale y-scale) 2))
3.8s	y-scale	@	(/.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))))

prune1.2min (7.4%)

Counts: 29510 → 2200
Compiler: Compiled 1883758 to 1128471 computations (40.1% saved)

regimes39.0s (3.9%)

Counts: 5532 → 80
Compiler: Compiled 210122 to 109215 computations (48% saved)

simplify33.7s (3.4%)

Algorithm

275×	egg-herbie

Rules

72549×	`fma-def_binary64`
62420×	`fma-neg_binary64`
42847×	`cancel-sign-sub-inv_binary64`
42806×	`associate-l_binary64`
36909×	`times-frac_binary64`

Stop Event

192×	node limit
83×	saturated

Counts

25173 → 20782

end15.9s (1.6%)

Stop Event

36×	fuel
13×	done

Compiler

Compiled 29842 to 20127 computations (32.6% saved)

rewrite9.4s (0.9%)

Algorithm

175×	batch-egg-rewrite
4×	egg-rewrite-iter-limit
2×	egg-rewrite

Rules

52111×	`expm1-log1p-u_binary64`
51300×	`log1p-expm1-u_binary64`
47197×	`pow1_binary64`
37995×	`add-log-exp_binary64`
29000×	`prod-diff_binary64`

Stop Event

5×	unsound
172×	node limit
4×	iter limit

Counts

489 → 14680

localize3.0s (0.3%)

bsearch2.3s (0.2%)

Algorithm

16×	binary-search
15×	left-value

Calls

10 calls:

1.7s	b
516.0ms	A
36.0ms	x
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))

Compiler

Compiled 182 to 125 computations (31.3% saved)

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

sample9.4min (56.3%)

analyze2.3min (14%)

series2.0min (11.7%)

prune1.2min (7.4%)

regimes39.0s (3.9%)

simplify33.7s (3.4%)

end15.9s (1.6%)

rewrite9.4s (0.9%)

localize3.0s (0.3%)

bsearch2.3s (0.2%)

preprocess2.1s (0.2%)

Profiling