VandenBroeck and Keller, Equation (24)

Time bar (total: 4.5s)

analyze197.0ms (4.4%)

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
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
37.5%37.5%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
46.9%46.8%53.1%0.1%0%0%0%10
46.9%46.8%53.1%0.1%0%0%0%11
48.4%48.4%51.5%0.1%0%0%0%12
Compiler

Compiled 30 to 22 computations (26.7% saved)

sample4.2s (93.2%)

Results
1.0s8256×0valid-rival
909.0ms8255×0valid-sollya
965.0ms8255×0valid-rival-baseline
Bogosity

preprocess84.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
233×fma-define
186×fma-neg
54×distribute-lft-neg-in
41×sub-neg
37×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037342
194252
2257252
3520252
4812252
51028252
61154252
71284252
81294252
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 B))))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 B)))))
(neg.f64 (+.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 B (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 B))))
(+.f64 (*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))))
(+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 B))))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 B)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))))
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (*.f64 B (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 B (tan.f64 x)))
Symmetry

(negabs B)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×neg-mul-1
12×unsub-neg
6×distribute-lft-neg-in
6×distribute-rgt-neg-in
6×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01646
13042
24442
35342
46142
58142
610942
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess23.0ms (0.5%)

Remove

(negabs B)

Compiler

Compiled 106 to 80 computations (24.5% saved)

end0.0ms (0%)

Profiling

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