Maksimov and Kolovsky, Equation (4)

Time bar (total: 1.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.6s (84%)

Memory
34.1MiB live, 1 805.4MiB allocated; 283ms collecting garbage
Samples
655.0ms1 907×1valid
594.0ms6 349×0valid
Precisions
Click to see histograms. Total time spent on operations: 971.0ms
ival-exp: 418.0ms (43% of total)
ival-cos: 262.0ms (27% of total)
ival-mult!: 101.0ms (10.4% of total)
adjust: 58.0ms (6% of total)
ival-neg: 42.0ms (4.3% of total)
ival-div!: 35.0ms (3.6% of total)
ival-sub!: 29.0ms (3% of total)
ival-add!: 25.0ms (2.6% of total)
Bogosity

explain244.0ms (12.8%)

Memory
10.9MiB live, 289.1MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-1(5.431848842271922e+74 0.005653497392126238 -5.267722618796789e+241 -1.6553121875367317e-78)(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0124(-1.180518919015983e+265 4.7591614935946736e-266 2.7470326202630095e+288 3.3773400926809163e+180)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
01(-5.402320508183013e-226 286.89774692669573 -1.4444700602815315e+30 8.195636521966488e+37)0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1240
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation311
exp.f64(exp.f64 (neg.f64 l))sensitivity10
Confusion
Predicted +Predicted -
+290
-114113
Precision
0.20279720279720279
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2900
-1140113
Precision?
0.20279720279720279
Recall?
1.0
Freqs
test
numberfreq
0113
1130
213
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms186×1valid
31.0ms272×0valid
23.0ms54×2valid
Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-exp: 43.0ms (49.2% of total)
ival-cos: 19.0ms (21.7% of total)
adjust: 10.0ms (11.4% of total)
ival-mult!: 7.0ms (8% of total)
ival-div!: 3.0ms (3.4% of total)
ival-sub!: 2.0ms (2.3% of total)
ival-add!: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)

preprocess25.0ms (1.3%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067231
1188229
2461229
31762229
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.5%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Symmetry

(abs K)

Compiler

Compiled 30 to 28 computations (6.7% saved)

series25.0ms (1.3%)

Memory
-22.6MiB live, 22.9MiB allocated; 5ms collecting garbage
Counts
14 → 59
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))))
#s(approx (* J (- (exp l) (exp (neg l)))) #s(hole binary64 (* J (- (exp l) (exp (neg l))))))
#s(approx J #s(hole binary64 J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (* 2 (* J (* l (cos (* 1/2 K))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (* l (cos (* 1/2 K)))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))))
#s(approx (* J (- (exp l) (exp (neg l)))) #s(hole binary64 (* 2 (* J l))))
#s(approx (* J (- (exp l) (exp (neg l)))) #s(hole binary64 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))
#s(approx (* J (- (exp l) (exp (neg l)))) #s(hole binary64 (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))))
#s(approx (* J (- (exp l) (exp (neg l)))) #s(hole binary64 (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))))
#s(approx (- (exp l) (exp (neg l))) #s(hole binary64 (* 2 l)))
#s(approx (- (exp l) (exp (neg l))) #s(hole binary64 (* l (+ 2 (* 1/3 (pow l 2))))))
#s(approx (- (exp l) (exp (neg l))) #s(hole binary64 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))
#s(approx (- (exp l) (exp (neg l))) #s(hole binary64 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
#s(approx (exp l) #s(hole binary64 1))
#s(approx (exp l) #s(hole binary64 (+ 1 l)))
#s(approx (exp l) #s(hole binary64 (+ 1 (* l (+ 1 (* 1/2 l))))))
#s(approx (exp l) #s(hole binary64 (+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))))
#s(approx l #s(hole binary64 l))
#s(approx (exp (neg l)) #s(hole binary64 1))
#s(approx (exp (neg l)) #s(hole binary64 (+ 1 (* -1 l))))
#s(approx (exp (neg l)) #s(hole binary64 (+ 1 (* l (- (* 1/2 l) 1)))))
#s(approx (exp (neg l)) #s(hole binary64 (+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))))
#s(approx (neg l) #s(hole binary64 (* -1 l)))
#s(approx (- (exp l) (exp (neg l))) #s(hole binary64 (- (exp l) (exp (neg l)))))
#s(approx (exp l) #s(hole binary64 (exp l)))
#s(approx (exp (neg l)) #s(hole binary64 (exp (neg l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))))
#s(approx (* J (- (exp l) (exp (neg l)))) #s(hole binary64 (* J (- (exp l) (exp (* -1 l))))))
#s(approx (- (exp l) (exp (neg l))) #s(hole binary64 (- (exp l) (exp (* -1 l)))))
#s(approx (exp (neg l)) #s(hole binary64 (exp (* -1 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (* J (- (exp l) (exp (neg l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (* J (- (exp l) (exp (neg l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(hole binary64 (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx U #s(hole binary64 U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) J (- (exp l) (exp (neg l))) (exp l) l (exp (neg l)) (neg l) (cos (/ K 2)) (/ K 2) K 2 U)
3.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) J (- (exp l) (exp (neg l))) (exp l) l (exp (neg l)) (neg l) (cos (/ K 2)) (/ K 2) K 2 U)
2.0ms
K
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) J (- (exp l) (exp (neg l))) (exp l) l (exp (neg l)) (neg l) (cos (/ K 2)) (/ K 2) K 2 U)
2.0ms
l
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) J (- (exp l) (exp (neg l))) (exp l) l (exp (neg l)) (neg l) (cos (/ K 2)) (/ K 2) K 2 U)
2.0ms
l
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) J (- (exp l) (exp (neg l))) (exp l) l (exp (neg l)) (neg l) (cos (/ K 2)) (/ K 2) K 2 U)

rewrite11.0ms (0.6%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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