Date:	Saturday, June 24th, 2023
Commit:	03e86f27 on update-readme-david-june12
Hostname:	nightly with Racket 8.6
Seed:	2023175
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

localize8.5min (35%)

Results

Compiler

Compiled 94089 to 44453 computations (52.8% saved)

sample7.6min (31.3%)

Results

2.6min	16846×	body	8192	exit
1.2min	64456×	body	1024	valid
57.7s	8166×	body	4096	valid
54.2s	269647×	body	256	valid
32.4s	13408×	body	2048	valid
27.7s	1536×	body	8192	valid
17.1s	32468×	body	512	valid
6.9s	4238×	body	1024	infinite
6.0s	28397×	body	256	unsamplable
5.4s	27372×	body	256	infinite
3.8s	576×	body	4096	infinite
3.8s	849×	body	2048	infinite
3.3s	20999×	body	256	invalid
2.0s	2024×	body	512	infinite
1.9s	5246×	body	2048	invalid
1.4s	3695×	body	1024	invalid
598.0ms	2154×	body	512	invalid
262.0ms	19×	body	8192	infinite
81.0ms	883×	body	256	precondition
14.0ms	1×	body	4096	unsamplable
7.0ms	5×	body	1024	unsamplable
2.0ms	7×	body	4096	invalid

Bogosity

eval2.0min (8.2%)

Compiler: Compiled 6647178 to 3617699 computations (45.6% saved)

soundness1.6min (6.7%)

Rules

368394×	`fma-def`
200868×	`associate-r`
166732×	`log-prod`
165296×	`fma-neg`
149602×	`associate-l`

Stop Event

9×	unsound
15×	saturated
462×	node limit

Compiler

Compiled 60095 to 35398 computations (41.1% saved)

regimes1.2min (4.8%)

Counts

16116 → 923

Calls

137 calls:

5.2s	B
5.1s	phi2
4.5s	lambda2
4.4s	phi1
4.0s	lambda1

Compiler

Compiled 356212 to 170963 computations (52% saved)

simplify51.6s (3.6%)

Algorithm

273×	egg-herbie

Rules

208416×	`fma-def`
121278×	`associate-r`
97964×	`associate-l`
87160×	`times-frac`
86912×	`fma-neg`

Stop Event

3×	unsound
65×	saturated
5×	done
43×	fuel
205×	node limit

Counts

81974 → 62906

Compiler

Compiled 16603 to 10865 computations (34.6% saved)

prune45.5s (3.1%)

Counts: 132029 → 6796
Compiler: Compiled 708986 to 477006 computations (32.7% saved)

analyze34.7s (2.4%)

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)

bsearch23.7s (1.6%)

Algorithm

387×	binary-search
74×	left-value

Stop Event

380×	narrow-enough
7×	predicate-same

Results

9.8s	8931×	body	1024	valid
6.2s	30619×	body	256	valid
2.8s	2550×	body	2048	valid
2.3s	3680×	body	512	valid
1.2s	1135×	body	4096	valid
403.0ms	2544×	body	256	invalid
64.0ms	353×	body	256	infinite
41.0ms	73×	body	1024	infinite
36.0ms	83×	body	512	infinite
2.0ms	32×	body	256	unsamplable

Compiler

Compiled 122394 to 88921 computations (27.3% saved)

rewrite21.4s (1.5%)

Algorithm

174×	batch-egg-rewrite

Rules

128298×	`pow1`
121432×	`add-exp-log`
121422×	`log1p-expm1-u`
121362×	`expm1-log1p-u`
113368×	`add-log-exp`

Stop Event

3×	unsound
171×	node limit

Counts

1755 → 41319

series13.3s (0.9%)

Counts

1755 → 40604

Calls

10293 calls:

Time	Variable		Point	Expression
339.0ms	x-scale	@	0	(fma.f64 (.f64 (/.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) x-scale)) (.f64 (/.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) y-scale) (/.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) 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)) (.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)) -4)))
119.0ms	a	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -9/8) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))
114.0ms	phi1	@	-inf	(log1p.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
113.0ms	b	@	0	(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
88.0ms	h	@	inf	(log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))))

end7.7s (0.5%)

Compiler: Compiled 34614 to 17896 computations (48.3% saved)

preprocess4.8s (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

localize8.5min (35%)

sample7.6min (31.3%)

eval2.0min (8.2%)

soundness1.6min (6.7%)

regimes1.2min (4.8%)

simplify51.6s (3.6%)

prune45.5s (3.1%)

analyze34.7s (2.4%)

bsearch23.7s (1.6%)

rewrite21.4s (1.5%)

series13.3s (0.9%)

end7.7s (0.5%)

preprocess4.8s (0.3%)

Profiling