Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 1.5s)

analyze22.0ms (1.4%)

Algorithm
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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (59.1% of total)
ival-sin: 2.0ms (16.9% of total)
ival-div: 1.0ms (8.4% of total)
ival-sinh: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (75.8%)

Results
808.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 505.0ms
ival-sin: 303.0ms (60% of total)
ival-div: 81.0ms (16% of total)
ival-mult: 61.0ms (12.1% of total)
ival-sinh: 49.0ms (9.7% of total)
const: 8.0ms (1.6% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess110.0ms (7.2%)

Algorithm
egg-herbie
Rules
823×fma-define
674×fma-neg
324×div-sub
286×associate-/r*
273×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025218
170218
2181218
3600218
42122218
54615218
67150218
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) x))
Symmetry

(abs y)

(negabs x)

explain174.0ms (11.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(sin.f64 x)
00-0-(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(sinh.f64 y)
Results
47.0ms512×0valid
Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 12.0ms (49.3% of total)
ival-div: 4.0ms (16.4% of total)
ival-mult: 4.0ms (16.4% of total)
ival-sinh: 4.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize38.0ms (2.5%)

Results
31.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 9.0ms (63.6% of total)
ival-div: 2.0ms (14.1% of total)
ival-mult: 2.0ms (14.1% of total)
ival-sinh: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

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%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
11330
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

soundness0.0ms (0%)

Stop Event
done
Compiler

Compiled 9 to 6 computations (33.3% saved)

preprocess24.0ms (1.6%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 72 computations (33.3% saved)

end0.0ms (0%)

Profiling

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