Herbie run

Date:Sunday, March 23rd, 2025
Commit:d4169ed9 on autofix-21-1
Seed:2025082
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:218 414.5 MB

Time bar (total: 3.1min)

sample1.2min (38.9%)

Memory
1 517.6MiB live, 80 019.7MiB allocated; 26.6s collecting garbage
Samples
27.6s224 446×0valid
7.9s65 849×0invalid
6.6s23 605×1valid
4.3s12 809×1invalid
3.0s9 640×2valid
2.3s6 492×3valid
781.0ms2 189×5exit
221.0ms558×2invalid
26.0ms265×0exit
4.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 38.2s
ival-mult!: 9.6s (25.2% of total)
ival-div!: 4.8s (12.6% of total)
ival-exp: 4.3s (11.2% of total)
ival-pow2: 3.0s (7.8% of total)
adjust: 2.4s (6.3% of total)
ival-pow: 2.0s (5.3% of total)
ival-sqrt: 2.0s (5.3% of total)
ival-sin: 2.0s (5.3% of total)
ival-sub!: 1.6s (4.1% of total)
ival-add!: 1.4s (3.7% of total)
ival-tan: 1.0s (2.7% of total)
ival-cos: 915.0ms (2.4% of total)
ival-acos: 852.0ms (2.2% of total)
ival-neg: 696.0ms (1.8% of total)
ival-hypot: 491.0ms (1.3% of total)
ival-log: 439.0ms (1.1% of total)
ival-asin: 224.0ms (0.6% of total)
ival-tanu: 193.0ms (0.5% of total)
ival-atan: 84.0ms (0.2% of total)
ival-fabs: 43.0ms (0.1% of total)
ival-<: 2.0ms (0% of total)
ival-and: 1.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

rewrite27.6s (14.8%)

Memory
759.6MiB live, 29 882.5MiB allocated; 8.1s collecting garbage
Stop Event
296×iter limit
123×node limit
unsound
Counts
28 584 → 45 718

regimes14.3s (7.7%)

Memory
75.8MiB live, 18 227.9MiB allocated; 4.5s collecting garbage
Counts
8 315 → 699
Calls

156 calls:

729.0ms
l
578.0ms
(sin.f64 kx)
568.0ms
k
529.0ms
NaChar
454.0ms
t
Compiler

Compiled 12 037 to 12 435 computations (-3.3% saved)

preprocess12.1s (6.5%)

Memory
376.6MiB live, 13 988.0MiB allocated; 2.9s collecting garbage
Stop Event
64×iter limit
62×node limit
saturated
Compiler

Compiled 209 459 to 76 375 computations (63.5% saved)

series11.8s (6.3%)

Memory
109.8MiB live, 16 336.6MiB allocated; 2.3s collecting garbage
Counts
4 497 → 24 087
Calls

1197 calls:

TimeVariablePointExpression
292.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (neg (pow (/ (PI) 4) -1)) (pow (/ (PI) 4) -1) -1)
276.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (* (log f) -1) (log (/ 4 (PI)))) (log f) -1 (log (/ 4 (PI))) (/ 4 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (+ (* (log f) -1) (log (/ 2 (* 1/2 (PI))))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))))
199.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (neg (pow (/ (PI) 4) -1)) (pow (/ (PI) 4) -1) -1)
126.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (* (log f) -1) (log (/ 4 (PI)))) (log f) -1 (log (/ 4 (PI))) (/ 4 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (+ (* (log f) -1) (log (/ 2 (* 1/2 (PI))))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))))
117.0ms
f
@0
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) -4) (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 2 (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (sinh (* (* f (PI)) 1/4)) 2)) (* (sinh (* (* f (PI)) 1/4)) 2) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (/ 4 (PI)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log 2) (PI)) (/ (log (* (* 1/2 (PI)) f)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* 1/2 (PI)) f)) (PI))) (/ (log 2) (PI)) (log 2) (/ (log (* (* 1/2 (PI)) f)) (PI)) (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) -1 (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))))

derivations10.0s (5.4%)

Memory
-257.2MiB live, 9 154.5MiB allocated; 2.6s collecting garbage
Stop Event
29×fuel
done
Compiler

Compiled 30 164 to 4 001 computations (86.7% saved)

analyze9.0s (4.9%)

Memory
-234.1MiB live, 10 200.4MiB allocated; 4.7s collecting garbage
Algorithm
32×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%98.2%1.8%0%0%0%0
22.2%21.8%76.4%1.8%0%0%0%1
22.6%21.8%74.8%1.8%0%1.6%0%2
28.6%26.5%66.3%1.8%0%5.5%0%3
32.6%29.6%61.2%1.8%0%7.4%0%4
35.8%32.3%58%1.8%0%8%0%5
40.1%36.1%54%1.8%0%8.1%0%6
45.5%40.6%48.7%1.8%0%8.9%0%7
47.9%42.1%45.8%1.8%0%10.3%0%8
51%44.6%43%1.8%0%10.6%0%9
52.1%45.5%41.8%1.8%0%11%0%10
53.9%46.7%40%1.8%0%11.5%0%11
55.6%47.9%38.2%1.8%0%12.1%0%12
Compiler

Compiled 798 to 574 computations (28.1% saved)

eval9.0s (4.8%)

Memory
-199.6MiB live, 13 194.8MiB allocated; 3.3s collecting garbage
Compiler

Compiled 2 943 945 to 256 853 computations (91.3% saved)

explain8.4s (4.5%)

Memory
-224.9MiB live, 11 425.0MiB allocated; 2.5s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue4730
-.f64#fcancellation4570
cos.f64#fsensitivity4240
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2550
*.f64#fn*o2490
+.f64#fnan-rescue2350
sqrt.f64#fuflow-rescue1630
pow.f64#foflow-rescue1420
asin.f64(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))sensitivity1300
*.f64#fu*o1230
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1150
-.f64#fnan-rescue940
pow.f64(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))sensitivity9129
/.f64#fo/o870
pow.f64#fuflow-rescue750
+.f64#fcancellation751
/.f64#fo/n630
*.f64#fo*u570
/.f64#fu/u530
*.f64#fn*u530
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))oflow-rescue450
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))overflow45
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)overflow45
(*.f64 K (+.f64 m n))overflow45
/.f64#fn/o430
/.f64#fn/u330
/.f64#fu/n210
exp.f64#fsensitivity20
Confusion
Predicted +Predicted -
+194241
-11535056
Precision
0.6274636510500807
Recall
0.9793242561775088
Confusion?
Predicted +Predicted MaybePredicted -
+1942239
-1153285028
Precision?
0.62208
Recall?
0.9803328290468987
Freqs
test
numberfreq
05097
12703
2332
349
411
Total Confusion?
Predicted +Predicted MaybePredicted -
+2500
-106
Precision?
0.9615384615384616
Recall?
1.0
Samples
1.7s13 316×0valid
628.0ms1 904×1valid
239.0ms768×2valid
135.0ms388×3valid
3.0ms5exit
Compiler

Compiled 7 569 to 1 655 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult!: 349.0ms (20.3% of total)
ival-div!: 240.0ms (14% of total)
adjust: 180.0ms (10.5% of total)
ival-pow: 133.0ms (7.7% of total)
ival-pow2: 120.0ms (7% of total)
ival-exp: 120.0ms (7% of total)
ival-sin: 111.0ms (6.5% of total)
ival-sqrt: 88.0ms (5.1% of total)
ival-cos: 85.0ms (4.9% of total)
ival-sub!: 65.0ms (3.8% of total)
ival-add!: 63.0ms (3.7% of total)
ival-tan: 44.0ms (2.6% of total)
ival-acos: 30.0ms (1.7% of total)
ival-neg: 27.0ms (1.6% of total)
ival-hypot: 22.0ms (1.3% of total)
ival-tanu: 11.0ms (0.6% of total)
ival-log: 11.0ms (0.6% of total)
ival-asin: 9.0ms (0.5% of total)
ival-fabs: 5.0ms (0.3% of total)
ival-atan: 5.0ms (0.3% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)

prune5.0s (2.7%)

Memory
232.1MiB live, 7 927.3MiB allocated; 876ms collecting garbage
Counts
56 044 → 2 557
Compiler

Compiled 244 456 to 122 873 computations (49.7% saved)

bsearch4.7s (2.5%)

Memory
-64.6MiB live, 5 798.7MiB allocated; 1.1s collecting garbage
Algorithm
220×binary-search
150×left-value
Stop Event
214×narrow-enough
predicate-same
Samples
2.2s15 761×0valid
533.0ms3 865×0invalid
145.0ms713×1valid
100.0ms300×2valid
36.0ms106×3valid
4.0ms26×1invalid
1.0ms2invalid
Compiler

Compiled 140 518 to 97 940 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult!: 462.0ms (20.8% of total)
ival-div!: 395.0ms (17.8% of total)
ival-pow2: 322.0ms (14.5% of total)
ival-pow: 238.0ms (10.7% of total)
ival-sin: 219.0ms (9.8% of total)
ival-tan: 187.0ms (8.4% of total)
ival-add!: 102.0ms (4.6% of total)
ival-sub!: 69.0ms (3.1% of total)
adjust: 54.0ms (2.4% of total)
ival-sqrt: 45.0ms (2% of total)
ival-exp: 41.0ms (1.8% of total)
ival-neg: 38.0ms (1.7% of total)
ival-cos: 22.0ms (1% of total)
ival-hypot: 11.0ms (0.5% of total)
ival-tanu: 10.0ms (0.4% of total)
ival-atan: 5.0ms (0.2% of total)
ival-fabs: 5.0ms (0.2% of total)

simplify1.9s (1%)

Memory
105.6MiB live, 2 255.5MiB allocated; 359ms collecting garbage
Stop Event
31×node limit
saturated

start2.0ms (0%)

Memory
3.3MiB live, 3.2MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...