tanhf (example 3.4)

Time bar (total: 4.7s)

analyze253.0ms (5.3%)

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 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
Operation ival-cos, time spent: 22.0ms, 35.0% of total-time
Operation ival-sin, time spent: 18.0ms, 28.0% of total-time
Operation ival-sub, time spent: 14.0ms, 22.0% of total-time
Operation ival-div, time spent: 7.0ms, 11.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time

sample4.1s (85.6%)

Results
916.0ms4618×256valid
2.5s2078×2048valid
370.0ms1009×1024valid
92.0ms494×512valid
44.0ms56×4096valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
Operation ival-sin, time spent: 1.7s, 54.0% of total-time
Operation ival-cos, time spent: 1.1s, 34.0% of total-time
Operation ival-div, time spent: 180.0ms, 6.0% of total-time
Operation ival-sub, time spent: 139.0ms, 4.0% of total-time
Operation const, time spent: 28.0ms, 1.0% of total-time
Bogosity

preprocess307.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
199×fma-define
83×fmm-def
47×times-frac
47×div-sub
37×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
773(6.85693239987038e+174)1(207.20114148253074)(-.f64 #s(literal 1 binary64) (cos.f64 x))
630-3(1.98610463500857e-156)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14660
28556
319156
447056
581556
698156
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 46 to 26 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
Operation ival-sin, time spent: 88.0ms, 53.0% of total-time
Operation ival-cos, time spent: 54.0ms, 32.0% of total-time
Operation ival-sub, time spent: 13.0ms, 8.0% of total-time
Operation ival-div, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time

eval0.0ms (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 #s(literal 2 binary64)))
Compiler

Compiled 5 to 4 computations (20% saved)

localize39.0ms (0.8%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-tan, time spent: 16.0ms, 78.0% of total-time
Operation ival-div, time spent: 4.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 5.0% 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 #s(literal 2 binary64)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total -31.0b remaining (-∞%)

Threshold costs -31b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0.1%)

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 #s(literal 2 binary64)))
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 5 to 4 computations (20% saved)

soundness42.0ms (0.9%)

Rules
199×fma-define
83×fmm-def
47×times-frac
47×div-sub
37×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14660
28556
319156
447056
581556
698156
Stop Event
1×saturated
Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess33.0ms (0.7%)

Remove

(negabs x)

Compiler

Compiled 56 to 44 computations (21.4% saved)

Profiling

Loading profile data...