tanhf (example 3.4)

Time bar (total: 5.6s)

analyze166.0ms (3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
Operation ival-<=, time spent: 17.0ms, 19.0% of total-time
Operation ival-sub, time spent: 15.0ms, 17.0% of total-time
Operation ival-cos, time spent: 15.0ms, 17.0% of total-time
Operation ival-sin, time spent: 11.0ms, 12.0% of total-time
Operation ival-neg, time spent: 10.0ms, 11.0% of total-time
Operation ...c/syntax/syntax.rkt:191:8, time spent: 9.0ms, 10.0% of total-time
Operation ival-div, time spent: 7.0ms, 8.0% of total-time
Operation ival-and, time spent: 3.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

sample4.7s (84.3%)

Results
1.0s4530×256valid
2.7s2126×2048valid
458.0ms991×1024valid
189.0ms535×512valid
131.0ms73×4096valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
Operation ival-sin, time spent: 1.5s, 42.0% of total-time
Operation ival-cos, time spent: 1.3s, 36.0% of total-time
Operation ival-div, time spent: 289.0ms, 8.0% of total-time
Operation ival-<=, time spent: 154.0ms, 4.0% of total-time
Operation ival-sub, time spent: 117.0ms, 3.0% of total-time
Operation ival-neg, time spent: 88.0ms, 3.0% of total-time
Operation ...c/syntax/syntax.rkt:191:8, time spent: 70.0ms, 2.0% of total-time
Operation ival-and, time spent: 25.0ms, 1.0% of total-time
Operation const, time spent: 11.0ms, 0.0% of total-time
Bogosity

preprocess369.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
750×fma-def
410×div-sub
196×associate-/r*
176×associate-/l*
118×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-3(1.4871076428293903e-159)(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
626(7.588057794066316e+174)1(4.64053564297902e+103)(-.f64 1 (cos.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-(cos.f64 x)
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14460
26956
314356
432656
573456
6139356
7177756
8185856
9193556
10198656
11199856
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) 2))
(tan.f64 (*.f64 -1/2 x))
(tan.f64 (*.f64 x -1/2))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
Symmetry

(negabs x)

Compiler

Compiled 46 to 26 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
Operation ival-sin, time spent: 102.0ms, 51.0% of total-time
Operation ival-cos, time spent: 75.0ms, 37.0% of total-time
Operation ival-sub, time spent: 12.0ms, 6.0% of total-time
Operation ival-div, time spent: 9.0ms, 4.0% of total-time
Operation const, time spent: 3.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 5 to 4 computations (20% saved)

localize51.0ms (0.9%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-div, time spent: 25.0ms, 77.0% of total-time
Operation ival-tan, time spent: 7.0ms, 22.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -28.9b remaining (-∞%)

Threshold costs -28.9b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (/.f64 x 2))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x 2))
Outputs
(tan.f64 (/.f64 x 2))
Compiler

Compiled 5 to 4 computations (20% saved)

soundness141.0ms (2.5%)

Rules
750×fma-def
410×div-sub
196×associate-/r*
176×associate-/l*
118×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14460
26956
314356
432656
573456
6139356
7177756
8185856
9193556
10198656
11199856
Stop Event
1×saturated
Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess134.0ms (2.4%)

Remove

(negabs x)

Compiler

Compiled 56 to 44 computations (21.4% saved)

Profiling

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