Metrics for VandenBroeck and Keller, Equation (20)

analyze295.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
7.4%	3.5%	44.1%	0%	0%	28.1%	24.2%	9
7.8%	3.7%	43.9%	0%	0%	28.1%	24.2%	10
8%	3.8%	43.8%	0%	0%	28.1%	24.2%	11
8%	3.8%	43.8%	0%	0%	28.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample7.3s (88.9%)

Results

2.5s	4008×	body	1024	valid
2.1s	3978×	body	1024	invalid
855.0ms	2083×	body	512	valid
727.0ms	2048×	body	512	invalid
567.0ms	518×	body	2048	valid
364.0ms	1647×	body	256	valid
181.0ms	989×	body	256	invalid
1.0ms	5×	body	256	unsamplable
1.0ms	1×	body	2048	invalid

Bogosity

preprocess612.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-*r/`
492×	`associate-/l*`
430×	`distribute-lft-in`
411×	`*-commutative`
316×	`distribute-rgt-in`

Problems

251×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
3×	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
2×	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	264	484
3	785	484
4	2974	484

Stop Event

1×	node limit

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(neg.f64 (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f)))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))))) (PI.f64)))

Compiler

Compiled 198 to 145 computations (26.8% saved)

VandenBroeck and Keller, Equation (20)

analyze295.0ms (3.6%)

sample7.3s (88.9%)

preprocess612.0ms (7.5%)

end0.0ms (0%)

Profiling