invcot (example 3.9)

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample196.0ms (3.9%)

Memory
-0.8MiB live, 14.4MiB allocated
Samples
152.0ms122×2valid
35.0ms136×1valid
0.0ms2×0valid
Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-tan: 151.0ms (84.3% of total)
ival-div: 11.0ms (6.1% of total)
const: 7.0ms (3.9% of total)
adjust: 6.0ms (3.4% of total)
ival-sub: 3.0ms (1.7% of total)
ival-<: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain4.8s (95.1%)

Memory
16.7MiB live, 606.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
178.352294921875
Average Time
0.6966886520385742
Samples
3.5s2 856×2valid
732.0ms3 240×1valid
3.0ms48×0valid
Compiler

Compiled 828 to 336 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-tan: 3.6s (89.3% of total)
ival-div: 223.0ms (5.6% of total)
adjust: 124.0ms (3.1% of total)
ival-sub: 67.0ms (1.7% of total)
ival-true: 5.0ms (0.1% of total)
exact: 4.0ms (0.1% of total)
ival-assert: 3.0ms (0.1% of total)

preprocess20.0ms (0.4%)

Memory
-1.4MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12119
25416
313116
420416
522816
623016
068
0108
1148
2228
3318
4438
5638
61028
71348
81928
92258
102478
02478
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x))
Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify21.0ms (0.4%)

Memory
2.2MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1118
2198
3258
4328
5448
6608
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
1×fuel
Compiler

Compiled 8 to 6 computations (25% saved)

preprocess7.0ms (0.1%)

Memory
-5.7MiB live, 3.5MiB allocated
Remove

(negabs x)

Compiler

Compiled 112 to 82 computations (26.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...