VandenBroeck and Keller, Equation (24)

Time bar (total: 3.3s)

analyze136.0ms (4.1%)

Memory
5.2MiB live, 57.4MiB allocated
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 29 to 23 computations (20.7% saved)

sample3.1s (92.8%)

Memory
17.3MiB live, 856.0MiB allocated
Samples
835.0ms8 256×73valid-baseline
747.0ms8 256×73valid-rival
500.0ms8 256×73valid-sollya
Precisions
Click to see Rival histograms. Total time spent on operations: 589.0ms
ival-tan: 184.0ms (31.2% of total)
ival-sin: 156.0ms (26.5% of total)
ival-div: 112.0ms (19% of total)
ival-mult: 49.0ms (8.3% of total)
ival-neg: 42.0ms (7.1% of total)
ival-add: 33.0ms (5.6% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 3.0ms (0.5% of total)
...in/eval/compile.rkt:110:19: 2.0ms (0.3% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 577.0ms
ival-tan: 166.0ms (28.7% of total)
ival-sin: 155.0ms (26.8% of total)
ival-div: 120.0ms (20.8% of total)
ival-mult: 51.0ms (8.8% of total)
ival-neg: 38.0ms (6.6% of total)
ival-add: 37.0ms (6.4% of total)
const: 11.0ms (1.9% of total)
Bogosity

preprocess76.0ms (2.3%)

Memory
5.5MiB live, 21.0MiB allocated
Algorithm
1×egg-herbie
Rules
233×fma-define
186×fmm-def
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
51029252
61155252
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%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
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%)

Memory
0.6MiB live, 0.6MiB allocated
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%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess20.0ms (0.6%)

Memory
-7.7MiB live, 23.6MiB allocated
Remove

(negabs B)

Compiler

Compiled 106 to 80 computations (24.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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