Date:	Friday, June 23rd, 2023
Commit:	05d1d3ad on ignore-logging
Hostname:	nightly with Racket 8.6
Seed:	2023174
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:simplifygenerate:proofs` default

Details

localize8.1min (34%)

Results

Compiler

Compiled 93764 to 45422 computations (51.6% saved)

sample7.6min (31.6%)

Results

2.6min	16585×	body	8192	exit
1.2min	64918×	body	1024	valid
57.9s	8247×	body	4096	valid
53.9s	269590×	body	256	valid
32.2s	13265×	body	2048	valid
28.3s	1560×	body	8192	valid
17.0s	32253×	body	512	valid
6.8s	4050×	body	1024	infinite
5.9s	27435×	body	256	unsamplable
5.6s	27237×	body	256	infinite
3.9s	586×	body	4096	infinite
3.4s	21410×	body	256	invalid
3.2s	779×	body	2048	infinite
2.1s	2163×	body	512	infinite
1.9s	5307×	body	2048	invalid
1.5s	3676×	body	1024	invalid
621.0ms	2237×	body	512	invalid
290.0ms	21×	body	8192	infinite
84.0ms	891×	body	256	precondition
4.0ms	6×	body	512	unsamplable
3.0ms	1×	body	2048	unsamplable
3.0ms	11×	body	4096	invalid
1.0ms	1×	body	1024	unsamplable

Bogosity

eval2.2min (9.1%)

Compiler: Compiled 7251227 to 3871774 computations (46.6% saved)

soundness1.5min (6.4%)

Rules

328736×	`fma-def`
199500×	`associate-r`
180882×	`log-prod`
145912×	`associate-l`
145212×	`fma-neg`

Stop Event

3×	unsound
12×	saturated
453×	node limit

Compiler

Compiled 54391 to 31770 computations (41.6% saved)

regimes1.2min (4.9%)

Counts

15685 → 852

Calls

137 calls:

5.4s	B
4.7s	phi1
4.3s	lambda1
4.3s	lambda2
4.0s	phi2

Compiler

Compiled 372270 to 189315 computations (49.1% saved)

simplify54.4s (3.8%)

Algorithm

279×	egg-herbie

Rules

201420×	`fma-def`
121734×	`associate-r`
105500×	`times-frac`
97390×	`associate-l`
94576×	`fma-neg`

Stop Event

1×	unsound
65×	saturated
5×	done
43×	fuel
213×	node limit

Counts

82725 → 66275

Compiler

Compiled 15946 to 10299 computations (35.4% saved)

prune47.4s (3.3%)

Counts: 145550 → 6853
Compiler: Compiled 745608 to 497446 computations (33.3% saved)

analyze33.6s (2.3%)

Algorithm

53×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	79.4%	20.6%	0%	0%	0%	0
19.6%	15.5%	63.8%	20.6%	0%	0%	0%	1
27.1%	21.4%	57.6%	21%	0%	0%	0%	2
36.8%	28.5%	48.9%	21.2%	0%	1.4%	0%	3
42.3%	32.2%	43.9%	21.2%	0%	2.8%	0%	4
47.2%	35.4%	39.6%	21.2%	0%	3.8%	0%	5
50.2%	37.2%	36.9%	21.2%	0%	4.6%	0%	6
53.6%	39.3%	34%	21.2%	0%	5.4%	0.1%	7
55.3%	40.3%	32.5%	21.3%	0%	5.8%	0.1%	8
58.3%	42%	30.1%	21.3%	0%	6.4%	0.2%	9
59.6%	42.8%	29%	21.3%	0%	6.7%	0.2%	10
61.9%	44.2%	27.2%	21.3%	0%	7.1%	0.3%	11
63.3%	45%	26%	21.3%	0%	7.4%	0.3%	12

Compiler

Compiled 1919 to 1338 computations (30.3% saved)

rewrite22.9s (1.6%)

Algorithm

180×	batch-egg-rewrite

Rules

125402×	`pow1`
118942×	`add-exp-log`
118810×	`log1p-expm1-u`
118782×	`expm1-log1p-u`
115348×	`add-log-exp`

Stop Event

3×	unsound
177×	node limit

Counts

1763 → 43800

bsearch18.8s (1.3%)

Algorithm

360×	binary-search
53×	left-value

Stop Event

349×	narrow-enough
11×	predicate-same

Results

6.3s	6043×	body	1024	valid
5.8s	29944×	body	256	valid
2.1s	2220×	body	2048	valid
2.0s	2853×	body	512	valid
886.0ms	695×	body	4096	valid
383.0ms	2390×	body	256	invalid
208.0ms	1015×	body	256	infinite
93.0ms	146×	body	1024	infinite
53.0ms	124×	body	512	infinite
3.0ms	40×	body	256	unsamplable

Compiler

Compiled 109001 to 77268 computations (29.1% saved)

series13.1s (0.9%)

Counts

1763 → 38874

Calls

10152 calls:

Time	Variable		Point	Expression
134.0ms	lambda1	@	inf	(log.f64 (acos.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (sin.f64 lambda1))))))))
115.0ms	F	@	0	(pow.f64 (*.f64 F A) 3/2)
94.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 b) (+.f64 1 a)))
80.0ms	a	@	inf	(.f64 (pow.f64 (.f64 x-scale y-scale) 2) (.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 8 (.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 b (.f64 a (.f64 b a))))) (pow.f64 (.f64 x-scale y-scale) 2)) (+.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 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (/.f64 y-scale (.f64 2 (fma.f64 a (neg.f64 a) (.f64 b b))))))))))) (.f64 (neg.f64 a) (.f64 a (*.f64 b b))))))
70.0ms	phi1	@	inf	(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))) 1)

end7.2s (0.5%)

Compiler: Compiled 33726 to 17500 computations (48.1% saved)

preprocess4.9s (0.3%)

Algorithm

102×	egg-herbie

Rules

64868×	`fma-def`
19882×	`div-sub`
18336×	`sub-neg`
17302×	`distribute-lft-neg-in`
16928×	`unsub-neg`

Stop Event

57×	saturated
9×	unsound
36×	node limit

Compiler

Compiled 1762 to 1250 computations (29.1% saved)

Herbie run

Details

localize8.1min (34%)

sample7.6min (31.6%)

eval2.2min (9.1%)

soundness1.5min (6.4%)

regimes1.2min (4.9%)

simplify54.4s (3.8%)

prune47.4s (3.3%)

analyze33.6s (2.3%)

rewrite22.9s (1.6%)

bsearch18.8s (1.3%)

series13.1s (0.9%)

end7.2s (0.5%)

preprocess4.9s (0.3%)

Profiling