2atan (example 3.5)

Time bar (total: 8.6s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample8.4s (97.5%)

Results
3.1s7307×1valid-rival
916.0ms7296×1valid-sollya
360.0ms683×2valid-rival
124.0ms683×2valid-sollya
24.0ms266×0valid-sollya
40.0ms266×0valid-rival
55.0ms11×1exit-sollya
Bogosity

preprocess128.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
84×fma-define
66×fma-neg
32×sub-neg
22×unsub-neg
20×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8453116
9488116
10514116
11516116
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N))))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 #s(literal 1 binary64) N)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
8.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×1-exp
3×+-commutative
2×sub-neg
1×*-commutative
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
11927
22327
32527
42627
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 8 to 6 computations (25% saved)

preprocess77.0ms (0.9%)

Compiler

Compiled 54 to 38 computations (29.6% saved)

end0.0ms (0%)

Profiling

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