Date:	Friday, June 16th, 2023
Commit:	b22679c1 on main
Hostname:	nightly with Racket 8.6
Seed:	2023167
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

localize8.9min (36.2%)

Results

Compiler

Compiled 90758 to 41942 computations (53.8% saved)

sample7.5min (30.3%)

Results

2.6min	17134×	body	8192	exit
1.1min	64480×	body	1024	valid
57.9s	8346×	body	4096	valid
51.9s	269402×	body	256	valid
32.2s	13373×	body	2048	valid
28.0s	1607×	body	8192	valid
16.6s	32200×	body	512	valid
7.1s	4216×	body	1024	infinite
6.1s	28117×	body	256	unsamplable
5.5s	27502×	body	256	infinite
3.9s	566×	body	4096	infinite
3.5s	21510×	body	256	invalid
3.1s	801×	body	2048	infinite
2.2s	2211×	body	512	infinite
2.0s	5367×	body	2048	invalid
1.4s	3809×	body	1024	invalid
675.0ms	2205×	body	512	invalid
342.0ms	25×	body	8192	infinite
158.0ms	866×	body	256	precondition
58.0ms	2×	body	8192	unsamplable
9.0ms	6×	body	1024	unsamplable
5.0ms	7×	body	512	unsamplable
4.0ms	1×	body	4096	unsamplable
1.0ms	6×	body	4096	invalid

Bogosity

eval1.9min (7.6%)

Compiler: Compiled 6800452 to 3638047 computations (46.5% saved)

soundness1.5min (6.3%)

Rules

323184×	`fma-def`
199698×	`associate-r`
164774×	`log-prod`
151398×	`associate-l`
143774×	`fma-neg`

Stop Event

8×	unsound
13×	saturated
440×	node limit

Compiler

Compiled 52830 to 28945 computations (45.2% saved)

regimes1.4min (5.7%)

Counts

18039 → 873

Calls

137 calls:

6.2s	phi1
6.1s	phi2
5.9s	B
5.1s	lambda1
4.5s	lambda2

Compiler

Compiled 473870 to 240464 computations (49.3% saved)

simplify54.7s (3.7%)

Algorithm

275×	egg-herbie

Rules

194184×	`fma-def`
121196×	`associate-r`
99982×	`associate-l`
89958×	`fma-neg`
88346×	`*-commutative`

Stop Event

2×	unsound
65×	saturated
6×	done
42×	fuel
208×	node limit

Counts

82085 → 63742

Results

Compiler

Compiled 16461 to 10481 computations (36.3% saved)

prune48.4s (3.3%)

Counts: 136136 → 6901
Compiler: Compiled 755560 to 501837 computations (33.6% saved)

analyze34.5s (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)

bsearch22.3s (1.5%)

Algorithm

343×	binary-search
71×	left-value

Stop Event

337×	narrow-enough
6×	predicate-same

Results

9.2s	7415×	body	1024	valid
6.4s	28033×	body	256	valid
2.3s	2206×	body	2048	valid
2.1s	3180×	body	512	valid
787.0ms	643×	body	4096	valid
310.0ms	1721×	body	256	invalid
119.0ms	151×	body	1024	infinite
116.0ms	536×	body	256	infinite
79.0ms	18×	body	2048	infinite
66.0ms	152×	body	512	infinite
16.0ms	2×	body	4096	infinite

Compiler

Compiled 105204 to 76128 computations (27.6% saved)

rewrite21.8s (1.5%)

Algorithm

176×	batch-egg-rewrite

Rules

123768×	`pow1`
117242×	`add-exp-log`
117192×	`log1p-expm1-u`
117140×	`expm1-log1p-u`
113622×	`add-log-exp`

Stop Event

4×	unsound
172×	node limit

Counts

1747 → 43297

series12.7s (0.9%)

Counts

1747 → 39315

Calls

10194 calls:

Time	Variable		Point	Expression
358.0ms	A	@	-inf	(*.f64 (atan.f64 (/.f64 (neg.f64 (+.f64 A (hypot.f64 A B))) B)) (/.f64 180 (PI.f64)))
158.0ms	a	@	0	(.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (*.f64 a (neg.f64 a)))
84.0ms	c	@	0	(+.f64 (/.f64 a b) (-.f64 (.f64 (.f64 2 c) (.f64 1/2 (/.f64 (.f64 a a) (pow.f64 b 3)))) (/.f64 b c)))
76.0ms	C	@	-inf	(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 (.f64 F (+.f64 A (-.f64 C (hypot.f64 (-.f64 A C) B)))) (fma.f64 B B (.f64 C (.f64 A -4))))) 3/2))) (-.f64 (.f64 B B) (.f64 4 (.f64 A C))))
68.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))

end7.0s (0.5%)

Compiler: Compiled 35048 to 17488 computations (50.1% saved)

preprocess5.3s (0.4%)

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

localize8.9min (36.2%)

sample7.5min (30.3%)

eval1.9min (7.6%)

soundness1.5min (6.3%)

regimes1.4min (5.7%)

simplify54.7s (3.7%)

prune48.4s (3.3%)

analyze34.5s (2.3%)

bsearch22.3s (1.5%)

rewrite21.8s (1.5%)

series12.7s (0.9%)

end7.0s (0.5%)

preprocess5.3s (0.4%)

Profiling