2atan (example 3.5)

Time bar (total: 4.2s)

analyze14.0ms (0.3%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
100%8.1%0%91.9%0%0%0%1
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample4.1s (97.5%)

Memory
-65.6MiB live, 1 164.0MiB allocated
Samples
1.3s7 345×1valid-baseline
721.0ms7 345×1valid-rival
687.0ms7 345×1valid-sollya
153.0ms659×2valid-baseline
89.0ms659×2valid-rival
82.0ms659×2valid-sollya
17.0ms251×0valid-baseline
15.0ms251×0valid-sollya
13.0ms251×0valid-rival
Precisions
Click to see Rival histograms. Total time spent on operations: 777.0ms
ival-atan: 312.0ms (40.2% of total)
ival-add: 273.0ms (35.1% of total)
adjust: 99.0ms (12.7% of total)
ival-sub: 77.0ms (9.9% of total)
ival-true: 7.0ms (0.9% of total)
...in/eval/compile.rkt:76:19: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 823.0ms
ival-atan: 493.0ms (59.9% of total)
ival-add: 156.0ms (18.9% of total)
ival-sub: 141.0ms (17.1% of total)
const: 33.0ms (4% of total)
Bogosity

preprocess53.0ms (1.2%)

Memory
4.1MiB live, 20.0MiB allocated
Algorithm
egg-herbie
Rules
84×fma-define
66×fmm-def
32×sub-neg
21×associate--r+
20×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8454116
9489116
10515116
11517116
Stop Event
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%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.3%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify2.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
egg-herbie
Rules
1-exp
+-commutative
sub-neg
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
11927
22327
32527
42627
Stop Event
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))

soundness0.0ms (0%)

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

Compiled 8 to 6 computations (25% saved)

preprocess37.0ms (0.9%)

Memory
6.5MiB live, 40.3MiB allocated
Compiler

Compiled 72 to 48 computations (33.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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