Date:	Saturday, June 11th, 2022
Commit:	ca3e1075 on cleanup
Hostname:	warfa with Racket 8.1
Seed:	2022162
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 (56.6%)

Results

2.5min	16083×	body	8192	exit
1.8min	69866×	body	1024	valid
1.3min	8864×	body	4096	valid
48.7s	257304×	body	128	valid
48.4s	14828×	body	2048	valid
35.0s	1584×	body	8192	valid
28.4s	34599×	body	512	valid
24.7s	12482×	body	1024	invalid
14.3s	37117×	body	256	valid
10.6s	44709×	body	128	invalid
8.3s	6755×	body	512	invalid
8.1s	2479×	body	2048	invalid
7.5s	884×	body	4096	invalid
2.5s	3353×	body	256	invalid
676.0ms	39×	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 (10.7%)

Counts

492 → 10190

Calls

2923 calls:

Time	Variable		Expression
10.8s	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)))
8.2s	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))
3.5s	a	@	(.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)))
3.5s	y-scale	@	(.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))

prune1.2min (7.2%)

Counts: 30085 → 2138
Compiler: Compiled 2064947 to 1216750 computations (41.1% saved)

regimes38.3s (3.8%)

Counts: 5141 → 76
Compiler: Compiled 202489 to 104933 computations (48.2% saved)

simplify35.5s (3.5%)

Algorithm

275×	egg-herbie

Rules

69894×	`fma-def_binary64`
58348×	`fma-neg_binary64`
42401×	`associate-l_binary64`
42240×	`associate-r_binary64`
38597×	`cancel-sign-sub-inv_binary64`

Stop Event

190×	node limit
85×	saturated

Counts

24925 → 21121

end16.9s (1.7%)

Stop Event

37×	fuel
12×	done

Compiler

Compiled 32838 to 22201 computations (32.4% saved)

rewrite9.3s (0.9%)

Algorithm

175×	batch-egg-rewrite
6×	egg-rewrite-iter-limit
5×	egg-rewrite

Rules

52370×	`expm1-log1p-u_binary64`
52361×	`log1p-expm1-u_binary64`
44115×	`pow1_binary64`
36509×	`add-log-exp_binary64`
28382×	`add-exp-log_binary64`

Stop Event

8×	unsound
172×	node limit
6×	iter limit

Counts

492 → 14864

localize2.9s (0.3%)

bsearch2.8s (0.3%)

Algorithm

14×	binary-search
13×	left-value

Calls

10 calls:

1.8s	b
647.0ms	A
180.0ms	g
72.0ms	x
0.0ms	(*.f64 b1 b2)

Compiler

Compiled 237 to 172 computations (27.4% saved)

preprocess2.2s (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 (56.6%)

analyze2.5min (14.9%)

series1.8min (10.7%)

prune1.2min (7.2%)

regimes38.3s (3.8%)

simplify35.5s (3.5%)

end16.9s (1.7%)

rewrite9.3s (0.9%)

localize2.9s (0.3%)

bsearch2.8s (0.3%)

preprocess2.2s (0.2%)

Profiling