Toniolo and Linder, Equation (10+)

Time bar (total: 2.8s)

analyze655.0ms (23.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
4.7%4.7%95.2%0.1%0%0%0%7
5.5%5.5%94.4%0.1%0%0%0%8
13.7%13.7%86.2%0.1%0%0%0%9
20.5%20.5%79.4%0.1%0%0%0%10
22%21.9%77.9%0.1%0%0%0%11
28.6%28.5%71.3%0.1%0%0%0%12
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample1.9s (68.6%)

Results
1.4s6022×body256valid
447.0ms2232×body256infinite
1.0ms2×body1024valid
Bogosity

preprocess213.0ms (7.7%)

Algorithm
1×egg-herbie
Rules
694×associate-/r*
638×associate-*l/
544×associate-*r/
473×times-frac
434×associate-/l*
Problems
137×No Errors
50×(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
48×(/.f64 (pow.f64 t 3) (*.f64 l l))
11×(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
7×(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
2×(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
1×(pow.f64 (/.f64 k t) 2)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931064
1302998
21308994
37809994
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 t) 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k (neg.f64 t)) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 (neg.f64 l) (neg.f64 l))) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 (neg.f64 k))) (tan.f64 (neg.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 k) t) 2)) 1)))
(neg.f64 (/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 t) 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k (neg.f64 t)) 2)) 1))))
(neg.f64 (/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 (neg.f64 l) (neg.f64 l))) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))))
(neg.f64 (/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 (neg.f64 k))) (tan.f64 (neg.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 k) t) 2)) 1))))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 l 3) (*.f64 t t)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k l) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 k 3) (*.f64 l l)) (sin.f64 t)) (tan.f64 t)) (+.f64 (+.f64 1 (pow.f64 (/.f64 t k) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 k k)) (sin.f64 l)) (tan.f64 l)) (+.f64 (+.f64 1 (pow.f64 (/.f64 l t) 2)) 1)))
Outputs
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
(/.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))
(/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
(/.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))
(/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 t) 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k (neg.f64 t)) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (pow.f64 (neg.f64 t) 3) (*.f64 l l)))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k (neg.f64 t)) 2)))))
(/.f64 (/.f64 (/.f64 2 (tan.f64 k)) (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 (neg.f64 (sin.f64 k)) l))) (+.f64 2 (pow.f64 (/.f64 k (neg.f64 t)) 2)))
(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (neg.f64 (pow.f64 t 3))) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 (neg.f64 l) (neg.f64 l))) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
(/.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))
(/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 (neg.f64 k))) (tan.f64 (neg.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 k) t) 2)) 1)))
(/.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))
(/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
(neg.f64 (/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 t) 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k (neg.f64 t)) 2)) 1))))
(/.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))
(/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
(neg.f64 (/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 (neg.f64 l) (neg.f64 l))) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))))
(/.f64 -2 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (*.f64 (tan.f64 k) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))))
(/.f64 -2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 -2 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (tan.f64 k)))))
(neg.f64 (/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 (neg.f64 k))) (tan.f64 (neg.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 k) t) 2)) 1))))
(/.f64 -2 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (*.f64 (tan.f64 k) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))))
(/.f64 -2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
(/.f64 -2 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 l 3) (*.f64 t t)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k l) 2)) 1)))
(/.f64 2 (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 l 3) (*.f64 t t))) (*.f64 (tan.f64 k) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k l) 2))))))
(/.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 l 3) (*.f64 t t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k l) 2)))
(/.f64 (/.f64 2 (/.f64 (*.f64 (tan.f64 k) (pow.f64 l 3)) (/.f64 (*.f64 t t) (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k l) 2)))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 k 3) (*.f64 l l)) (sin.f64 t)) (tan.f64 t)) (+.f64 (+.f64 1 (pow.f64 (/.f64 t k) 2)) 1)))
(/.f64 (/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 k 3) l) l) (sin.f64 t)) (tan.f64 t))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 t k) 2))))
(/.f64 (/.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 k 3) (sin.f64 t)) (*.f64 l l)) (tan.f64 t))) (+.f64 2 (pow.f64 (/.f64 t k) 2)))
(*.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 (/.f64 t k) 2))) (*.f64 (pow.f64 k 3) (*.f64 (sin.f64 t) (tan.f64 t)))) (*.f64 l l))
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 k k)) (sin.f64 l)) (tan.f64 l)) (+.f64 (+.f64 1 (pow.f64 (/.f64 l t) 2)) 1)))
(/.f64 (/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) k) k) (sin.f64 l)) (tan.f64 l))) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 l t) 2))))
(/.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 k k)) (sin.f64 l)) (*.f64 (tan.f64 l) (+.f64 2 (pow.f64 (/.f64 l t) 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 2 (/.f64 (pow.f64 t 3) k)) k) (sin.f64 l)) (tan.f64 l)) (+.f64 2 (pow.f64 (/.f64 l t) 2)))
Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 122 to 63 computations (48.4% saved)

end0.0ms (0%)

Profiling

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